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Finding the Fourth Proportional to 708.79, 977.10 and 498.32

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Solution

The fourth proportional to 708.79, 977.10 and 498.32 is: 686.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.79 : 977.10 = 498.32 : x
  2. Step 2: Convert to fraction form
    708.79/977.10 = 498.32/x
  3. Step 3: Cross multiply
    708.79x = 977.10 × 498.32
  4. Step 4: Simplify right side
    708.79x = 486,908.47
  5. Step 5: Solve for x
    x = 486,908.47/708.79
  6. Step 6: Final answer
    x = 686.96

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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.