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Finding the Fourth Proportional to 466.16, 647.52 and 458.72

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Solution

The fourth proportional to 466.16, 647.52 and 458.72 is: 637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.16 : 647.52 = 458.72 : x
  2. Step 2: Convert to fraction form
    466.16/647.52 = 458.72/x
  3. Step 3: Cross multiply
    466.16x = 647.52 × 458.72
  4. Step 4: Simplify right side
    466.16x = 297,027.14
  5. Step 5: Solve for x
    x = 297,027.14/466.16
  6. Step 6: Final answer
    x = 637.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.