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Finding the Fourth Proportional to 458.88, 686.88 and 356.46

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Solution

The fourth proportional to 458.88, 686.88 and 356.46 is: 533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.88 : 686.88 = 356.46 : x
  2. Step 2: Convert to fraction form
    458.88/686.88 = 356.46/x
  3. Step 3: Cross multiply
    458.88x = 686.88 × 356.46
  4. Step 4: Simplify right side
    458.88x = 244,845.24
  5. Step 5: Solve for x
    x = 244,845.24/458.88
  6. Step 6: Final answer
    x = 533.57

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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.