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Finding the Fourth Proportional to 934.66, 1,400.08 and 471.79

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Solution

The fourth proportional to 934.66, 1,400.08 and 471.79 is: 706.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.66 : 1,400.08 = 471.79 : x
  2. Step 2: Convert to fraction form
    934.66/1,400.08 = 471.79/x
  3. Step 3: Cross multiply
    934.66x = 1,400.08 × 471.79
  4. Step 4: Simplify right side
    934.66x = 660,543.74
  5. Step 5: Solve for x
    x = 660,543.74/934.66
  6. Step 6: Final answer
    x = 706.72

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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.