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Finding the Fourth Proportional to 669.93, 924.24 and 512.31

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Solution

The fourth proportional to 669.93, 924.24 and 512.31 is: 706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.93 : 924.24 = 512.31 : x
  2. Step 2: Convert to fraction form
    669.93/924.24 = 512.31/x
  3. Step 3: Cross multiply
    669.93x = 924.24 × 512.31
  4. Step 4: Simplify right side
    669.93x = 473,497.39
  5. Step 5: Solve for x
    x = 473,497.39/669.93
  6. Step 6: Final answer
    x = 706.79

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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.