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Finding the Fourth Proportional to 959.57, 1,437.98 and 496.35

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Solution

The fourth proportional to 959.57, 1,437.98 and 496.35 is: 743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.57 : 1,437.98 = 496.35 : x
  2. Step 2: Convert to fraction form
    959.57/1,437.98 = 496.35/x
  3. Step 3: Cross multiply
    959.57x = 1,437.98 × 496.35
  4. Step 4: Simplify right side
    959.57x = 713,744.33
  5. Step 5: Solve for x
    x = 713,744.33/959.57
  6. Step 6: Final answer
    x = 743.82

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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.