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Finding the Fourth Proportional to 567.34, 783.14 and 498.13

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Solution

The fourth proportional to 567.34, 783.14 and 498.13 is: 687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.34 : 783.14 = 498.13 : x
  2. Step 2: Convert to fraction form
    567.34/783.14 = 498.13/x
  3. Step 3: Cross multiply
    567.34x = 783.14 × 498.13
  4. Step 4: Simplify right side
    567.34x = 390,105.48
  5. Step 5: Solve for x
    x = 390,105.48/567.34
  6. Step 6: Final answer
    x = 687.61

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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.