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Finding the Fourth Proportional to 708.52, 977.07 and 498.63

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Solution

The fourth proportional to 708.52, 977.07 and 498.63 is: 687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.52 : 977.07 = 498.63 : x
  2. Step 2: Convert to fraction form
    708.52/977.07 = 498.63/x
  3. Step 3: Cross multiply
    708.52x = 977.07 × 498.63
  4. Step 4: Simplify right side
    708.52x = 487,196.41
  5. Step 5: Solve for x
    x = 487,196.41/708.52
  6. Step 6: Final answer
    x = 687.63

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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.