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Finding the Fourth Proportional to 565.40, 781.01 and 455.30

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Solution

The fourth proportional to 565.40, 781.01 and 455.30 is: 628.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.40 : 781.01 = 455.30 : x
  2. Step 2: Convert to fraction form
    565.40/781.01 = 455.30/x
  3. Step 3: Cross multiply
    565.40x = 781.01 × 455.30
  4. Step 4: Simplify right side
    565.40x = 355,587.67
  5. Step 5: Solve for x
    x = 355,587.67/565.40
  6. Step 6: Final answer
    x = 628.92

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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.