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Finding the Fourth Proportional to 651.32, 976.08 and 467.90

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Solution

The fourth proportional to 651.32, 976.08 and 467.90 is: 701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.32 : 976.08 = 467.90 : x
  2. Step 2: Convert to fraction form
    651.32/976.08 = 467.90/x
  3. Step 3: Cross multiply
    651.32x = 976.08 × 467.90
  4. Step 4: Simplify right side
    651.32x = 456,707.83
  5. Step 5: Solve for x
    x = 456,707.83/651.32
  6. Step 6: Final answer
    x = 701.20

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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.