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Finding the Fourth Proportional to 708.86, 978.18 and 429.25

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Solution

The fourth proportional to 708.86, 978.18 and 429.25 is: 592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.86 : 978.18 = 429.25 : x
  2. Step 2: Convert to fraction form
    708.86/978.18 = 429.25/x
  3. Step 3: Cross multiply
    708.86x = 978.18 × 429.25
  4. Step 4: Simplify right side
    708.86x = 419,883.77
  5. Step 5: Solve for x
    x = 419,883.77/708.86
  6. Step 6: Final answer
    x = 592.34

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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.