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Finding the Fourth Proportional to 458.59, 686.28 and 375.36

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Solution

The fourth proportional to 458.59, 686.28 and 375.36 is: 561.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.59 : 686.28 = 375.36 : x
  2. Step 2: Convert to fraction form
    458.59/686.28 = 375.36/x
  3. Step 3: Cross multiply
    458.59x = 686.28 × 375.36
  4. Step 4: Simplify right side
    458.59x = 257,602.06
  5. Step 5: Solve for x
    x = 257,602.06/458.59
  6. Step 6: Final answer
    x = 561.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.