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Finding the Fourth Proportional to 458.32, 691.07 and 420.05

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Solution

The fourth proportional to 458.32, 691.07 and 420.05 is: 633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.32 : 691.07 = 420.05 : x
  2. Step 2: Convert to fraction form
    458.32/691.07 = 420.05/x
  3. Step 3: Cross multiply
    458.32x = 691.07 × 420.05
  4. Step 4: Simplify right side
    458.32x = 290,280.50
  5. Step 5: Solve for x
    x = 290,280.50/458.32
  6. Step 6: Final answer
    x = 633.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.