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Finding the Fourth Proportional to 918.50, 1,266.57 and 708.71

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Solution

The fourth proportional to 918.50, 1,266.57 and 708.71 is: 977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.50 : 1,266.57 = 708.71 : x
  2. Step 2: Convert to fraction form
    918.50/1,266.57 = 708.71/x
  3. Step 3: Cross multiply
    918.50x = 1,266.57 × 708.71
  4. Step 4: Simplify right side
    918.50x = 897,624.49
  5. Step 5: Solve for x
    x = 897,624.49/918.50
  6. Step 6: Final answer
    x = 977.28

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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.