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Finding the Fourth Proportional to 707.47, 1,060.78 and 317.40

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Solution

The fourth proportional to 707.47, 1,060.78 and 317.40 is: 475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.47 : 1,060.78 = 317.40 : x
  2. Step 2: Convert to fraction form
    707.47/1,060.78 = 317.40/x
  3. Step 3: Cross multiply
    707.47x = 1,060.78 × 317.40
  4. Step 4: Simplify right side
    707.47x = 336,691.57
  5. Step 5: Solve for x
    x = 336,691.57/707.47
  6. Step 6: Final answer
    x = 475.91

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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.