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Finding the Fourth Proportional to 567.27, 783.61 and 474.32

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Solution

The fourth proportional to 567.27, 783.61 and 474.32 is: 655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.27 : 783.61 = 474.32 : x
  2. Step 2: Convert to fraction form
    567.27/783.61 = 474.32/x
  3. Step 3: Cross multiply
    567.27x = 783.61 × 474.32
  4. Step 4: Simplify right side
    567.27x = 371,682.67
  5. Step 5: Solve for x
    x = 371,682.67/567.27
  6. Step 6: Final answer
    x = 655.21

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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.