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Finding the Fourth Proportional to 666.48, 920.92 and 512.56

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Solution

The fourth proportional to 666.48, 920.92 and 512.56 is: 708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.48 : 920.92 = 512.56 : x
  2. Step 2: Convert to fraction form
    666.48/920.92 = 512.56/x
  3. Step 3: Cross multiply
    666.48x = 920.92 × 512.56
  4. Step 4: Simplify right side
    666.48x = 472,026.76
  5. Step 5: Solve for x
    x = 472,026.76/666.48
  6. Step 6: Final answer
    x = 708.24

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1.5x scale

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.