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Finding the Fourth Proportional to 940.55, 1,298.12 and 562.42

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Solution

The fourth proportional to 940.55, 1,298.12 and 562.42 is: 776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.55 : 1,298.12 = 562.42 : x
  2. Step 2: Convert to fraction form
    940.55/1,298.12 = 562.42/x
  3. Step 3: Cross multiply
    940.55x = 1,298.12 × 562.42
  4. Step 4: Simplify right side
    940.55x = 730,082.59
  5. Step 5: Solve for x
    x = 730,082.59/940.55
  6. Step 6: Final answer
    x = 776.23

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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.