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Finding the Fourth Proportional to 567.89, 783.17 and 358.01

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Solution

The fourth proportional to 567.89, 783.17 and 358.01 is: 493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.89 : 783.17 = 358.01 : x
  2. Step 2: Convert to fraction form
    567.89/783.17 = 358.01/x
  3. Step 3: Cross multiply
    567.89x = 783.17 × 358.01
  4. Step 4: Simplify right side
    567.89x = 280,380.90
  5. Step 5: Solve for x
    x = 280,380.90/567.89
  6. Step 6: Final answer
    x = 493.72

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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.