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Finding the Fourth Proportional to 959.53, 1,439.30 and 472.93

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Solution

The fourth proportional to 959.53, 1,439.30 and 472.93 is: 709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.53 : 1,439.30 = 472.93 : x
  2. Step 2: Convert to fraction form
    959.53/1,439.30 = 472.93/x
  3. Step 3: Cross multiply
    959.53x = 1,439.30 × 472.93
  4. Step 4: Simplify right side
    959.53x = 680,688.15
  5. Step 5: Solve for x
    x = 680,688.15/959.53
  6. Step 6: Final answer
    x = 709.40

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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.