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Finding the Fourth Proportional to 940.57, 1,298.20 and 586.42

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Solution

The fourth proportional to 940.57, 1,298.20 and 586.42 is: 809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.57 : 1,298.20 = 586.42 : x
  2. Step 2: Convert to fraction form
    940.57/1,298.20 = 586.42/x
  3. Step 3: Cross multiply
    940.57x = 1,298.20 × 586.42
  4. Step 4: Simplify right side
    940.57x = 761,288.83
  5. Step 5: Solve for x
    x = 761,288.83/940.57
  6. Step 6: Final answer
    x = 809.39

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.