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Finding the Fourth Proportional to 567.54, 783.30 and 474.15

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Solution

The fourth proportional to 567.54, 783.30 and 474.15 is: 654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.54 : 783.30 = 474.15 : x
  2. Step 2: Convert to fraction form
    567.54/783.30 = 474.15/x
  3. Step 3: Cross multiply
    567.54x = 783.30 × 474.15
  4. Step 4: Simplify right side
    567.54x = 371,401.70
  5. Step 5: Solve for x
    x = 371,401.70/567.54
  6. Step 6: Final answer
    x = 654.41

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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.