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Finding the Fourth Proportional to 661.60, 912.10 and 512.45

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Solution

The fourth proportional to 661.60, 912.10 and 512.45 is: 706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.60 : 912.10 = 512.45 : x
  2. Step 2: Convert to fraction form
    661.60/912.10 = 512.45/x
  3. Step 3: Cross multiply
    661.60x = 912.10 × 512.45
  4. Step 4: Simplify right side
    661.60x = 467,398.52
  5. Step 5: Solve for x
    x = 467,398.52/661.60
  6. Step 6: Final answer
    x = 706.47

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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.