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Finding the Fourth Proportional to 959.66, 1,439.64 and 472.74

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Solution

The fourth proportional to 959.66, 1,439.64 and 472.74 is: 709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.66 : 1,439.64 = 472.74 : x
  2. Step 2: Convert to fraction form
    959.66/1,439.64 = 472.74/x
  3. Step 3: Cross multiply
    959.66x = 1,439.64 × 472.74
  4. Step 4: Simplify right side
    959.66x = 680,575.41
  5. Step 5: Solve for x
    x = 680,575.41/959.66
  6. Step 6: Final answer
    x = 709.18

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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.