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Finding the Fourth Proportional to 708.13, 978.16 and 590.49

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Solution

The fourth proportional to 708.13, 978.16 and 590.49 is: 815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.13 : 978.16 = 590.49 : x
  2. Step 2: Convert to fraction form
    708.13/978.16 = 590.49/x
  3. Step 3: Cross multiply
    708.13x = 978.16 × 590.49
  4. Step 4: Simplify right side
    708.13x = 577,593.70
  5. Step 5: Solve for x
    x = 577,593.70/708.13
  6. Step 6: Final answer
    x = 815.66

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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.