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Finding the Fourth Proportional to 709.69, 979.38 and 497.32

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Solution

The fourth proportional to 709.69, 979.38 and 497.32 is: 686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.69 : 979.38 = 497.32 : x
  2. Step 2: Convert to fraction form
    709.69/979.38 = 497.32/x
  3. Step 3: Cross multiply
    709.69x = 979.38 × 497.32
  4. Step 4: Simplify right side
    709.69x = 487,057.88
  5. Step 5: Solve for x
    x = 487,057.88/709.69
  6. Step 6: Final answer
    x = 686.30

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Half scale
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Double scale
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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.