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Finding the Fourth Proportional to 670.29, 925.14 and 512.70

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Solution

The fourth proportional to 670.29, 925.14 and 512.70 is: 707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.29 : 925.14 = 512.70 : x
  2. Step 2: Convert to fraction form
    670.29/925.14 = 512.70/x
  3. Step 3: Cross multiply
    670.29x = 925.14 × 512.70
  4. Step 4: Simplify right side
    670.29x = 474,319.28
  5. Step 5: Solve for x
    x = 474,319.28/670.29
  6. Step 6: Final answer
    x = 707.63

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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.