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Finding the Fourth Proportional to 959.64, 1,440.78 and 497.74

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Solution

The fourth proportional to 959.64, 1,440.78 and 497.74 is: 747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.64 : 1,440.78 = 497.74 : x
  2. Step 2: Convert to fraction form
    959.64/1,440.78 = 497.74/x
  3. Step 3: Cross multiply
    959.64x = 1,440.78 × 497.74
  4. Step 4: Simplify right side
    959.64x = 717,124.14
  5. Step 5: Solve for x
    x = 717,124.14/959.64
  6. Step 6: Final answer
    x = 747.28

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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.