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Finding the Fourth Proportional to 709.03, 978.14 and 429.08

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Solution

The fourth proportional to 709.03, 978.14 and 429.08 is: 591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.03 : 978.14 = 429.08 : x
  2. Step 2: Convert to fraction form
    709.03/978.14 = 429.08/x
  3. Step 3: Cross multiply
    709.03x = 978.14 × 429.08
  4. Step 4: Simplify right side
    709.03x = 419,703.83
  5. Step 5: Solve for x
    x = 419,703.83/709.03
  6. Step 6: Final answer
    x = 591.94

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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.