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Finding the Fourth Proportional to 918.47, 1,267.63 and 706.25

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Solution

The fourth proportional to 918.47, 1,267.63 and 706.25 is: 974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.47 : 1,267.63 = 706.25 : x
  2. Step 2: Convert to fraction form
    918.47/1,267.63 = 706.25/x
  3. Step 3: Cross multiply
    918.47x = 1,267.63 × 706.25
  4. Step 4: Simplify right side
    918.47x = 895,265.09
  5. Step 5: Solve for x
    x = 895,265.09/918.47
  6. Step 6: Final answer
    x = 974.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.