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Finding the Fourth Proportional to 670.17, 925.60 and 566.14

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Solution

The fourth proportional to 670.17, 925.60 and 566.14 is: 781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.17 : 925.60 = 566.14 : x
  2. Step 2: Convert to fraction form
    670.17/925.60 = 566.14/x
  3. Step 3: Cross multiply
    670.17x = 925.60 × 566.14
  4. Step 4: Simplify right side
    670.17x = 524,019.18
  5. Step 5: Solve for x
    x = 524,019.18/670.17
  6. Step 6: Final answer
    x = 781.92

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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.