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Finding the Fourth Proportional to 651.76, 978.18 and 459.52

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Solution

The fourth proportional to 651.76, 978.18 and 459.52 is: 689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.76 : 978.18 = 459.52 : x
  2. Step 2: Convert to fraction form
    651.76/978.18 = 459.52/x
  3. Step 3: Cross multiply
    651.76x = 978.18 × 459.52
  4. Step 4: Simplify right side
    651.76x = 449,493.27
  5. Step 5: Solve for x
    x = 449,493.27/651.76
  6. Step 6: Final answer
    x = 689.66

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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.