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Finding the Fourth Proportional to 959.98, 1,439.17 and 497.89

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Solution

The fourth proportional to 959.98, 1,439.17 and 497.89 is: 746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.98 : 1,439.17 = 497.89 : x
  2. Step 2: Convert to fraction form
    959.98/1,439.17 = 497.89/x
  3. Step 3: Cross multiply
    959.98x = 1,439.17 × 497.89
  4. Step 4: Simplify right side
    959.98x = 716,548.35
  5. Step 5: Solve for x
    x = 716,548.35/959.98
  6. Step 6: Final answer
    x = 746.42

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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.