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Finding the Fourth Proportional to 709.38, 978.70 and 429.70

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Solution

The fourth proportional to 709.38, 978.70 and 429.70 is: 592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.38 : 978.70 = 429.70 : x
  2. Step 2: Convert to fraction form
    709.38/978.70 = 429.70/x
  3. Step 3: Cross multiply
    709.38x = 978.70 × 429.70
  4. Step 4: Simplify right side
    709.38x = 420,547.39
  5. Step 5: Solve for x
    x = 420,547.39/709.38
  6. Step 6: Final answer
    x = 592.84

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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.