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Finding the Fourth Proportional to 488.86, 736.72 and 458.10

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Solution

The fourth proportional to 488.86, 736.72 and 458.10 is: 690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.86 : 736.72 = 458.10 : x
  2. Step 2: Convert to fraction form
    488.86/736.72 = 458.10/x
  3. Step 3: Cross multiply
    488.86x = 736.72 × 458.10
  4. Step 4: Simplify right side
    488.86x = 337,490.29
  5. Step 5: Solve for x
    x = 337,490.29/488.86
  6. Step 6: Final answer
    x = 690.37

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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.