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Finding the Fourth Proportional to 860.99, 1,291.76 and 284.27

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Solution

The fourth proportional to 860.99, 1,291.76 and 284.27 is: 426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.99 : 1,291.76 = 284.27 : x
  2. Step 2: Convert to fraction form
    860.99/1,291.76 = 284.27/x
  3. Step 3: Cross multiply
    860.99x = 1,291.76 × 284.27
  4. Step 4: Simplify right side
    860.99x = 367,207.19
  5. Step 5: Solve for x
    x = 367,207.19/860.99
  6. Step 6: Final answer
    x = 426.49

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.