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Finding the Fourth Proportional to 503.66, 693.68 and 498.40

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Solution

The fourth proportional to 503.66, 693.68 and 498.40 is: 686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.66 : 693.68 = 498.40 : x
  2. Step 2: Convert to fraction form
    503.66/693.68 = 498.40/x
  3. Step 3: Cross multiply
    503.66x = 693.68 × 498.40
  4. Step 4: Simplify right side
    503.66x = 345,730.11
  5. Step 5: Solve for x
    x = 345,730.11/503.66
  6. Step 6: Final answer
    x = 686.44

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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.