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Finding the Fourth Proportional to 651.48, 976.08 and 431.91

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Solution

The fourth proportional to 651.48, 976.08 and 431.91 is: 647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.48 : 976.08 = 431.91 : x
  2. Step 2: Convert to fraction form
    651.48/976.08 = 431.91/x
  3. Step 3: Cross multiply
    651.48x = 976.08 × 431.91
  4. Step 4: Simplify right side
    651.48x = 421,578.71
  5. Step 5: Solve for x
    x = 421,578.71/651.48
  6. Step 6: Final answer
    x = 647.11

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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.