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Finding the Fourth Proportional to 709.64, 978.90 and 512.92

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Solution

The fourth proportional to 709.64, 978.90 and 512.92 is: 707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.64 : 978.90 = 512.92 : x
  2. Step 2: Convert to fraction form
    709.64/978.90 = 512.92/x
  3. Step 3: Cross multiply
    709.64x = 978.90 × 512.92
  4. Step 4: Simplify right side
    709.64x = 502,097.39
  5. Step 5: Solve for x
    x = 502,097.39/709.64
  6. Step 6: Final answer
    x = 707.54

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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.