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Finding the Fourth Proportional to 650.93, 975.31 and 458.15

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Solution

The fourth proportional to 650.93, 975.31 and 458.15 is: 686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.93 : 975.31 = 458.15 : x
  2. Step 2: Convert to fraction form
    650.93/975.31 = 458.15/x
  3. Step 3: Cross multiply
    650.93x = 975.31 × 458.15
  4. Step 4: Simplify right side
    650.93x = 446,832.25
  5. Step 5: Solve for x
    x = 446,832.25/650.93
  6. Step 6: Final answer
    x = 686.46

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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.