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Finding the Fourth Proportional to 661.48, 913.13 and 512.17

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Solution

The fourth proportional to 661.48, 913.13 and 512.17 is: 707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.48 : 913.13 = 512.17 : x
  2. Step 2: Convert to fraction form
    661.48/913.13 = 512.17/x
  3. Step 3: Cross multiply
    661.48x = 913.13 × 512.17
  4. Step 4: Simplify right side
    661.48x = 467,677.79
  5. Step 5: Solve for x
    x = 467,677.79/661.48
  6. Step 6: Final answer
    x = 707.02

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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.