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Finding the Fourth Proportional to 498.58, 686.07 and 452.00

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Solution

The fourth proportional to 498.58, 686.07 and 452.00 is: 621.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.58 : 686.07 = 452.00 : x
  2. Step 2: Convert to fraction form
    498.58/686.07 = 452.00/x
  3. Step 3: Cross multiply
    498.58x = 686.07 × 452.00
  4. Step 4: Simplify right side
    498.58x = 310,105.36
  5. Step 5: Solve for x
    x = 310,105.36/498.58
  6. Step 6: Final answer
    x = 621.98

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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.