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Finding the Fourth Proportional to 959.16, 1,437.68 and 411.06

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Solution

The fourth proportional to 959.16, 1,437.68 and 411.06 is: 616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.16 : 1,437.68 = 411.06 : x
  2. Step 2: Convert to fraction form
    959.16/1,437.68 = 411.06/x
  3. Step 3: Cross multiply
    959.16x = 1,437.68 × 411.06
  4. Step 4: Simplify right side
    959.16x = 590,972.74
  5. Step 5: Solve for x
    x = 590,972.74/959.16
  6. Step 6: Final answer
    x = 616.14

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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.