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Finding the Fourth Proportional to 918.54, 1,372.23 and 656.46

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Solution

The fourth proportional to 918.54, 1,372.23 and 656.46 is: 980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.54 : 1,372.23 = 656.46 : x
  2. Step 2: Convert to fraction form
    918.54/1,372.23 = 656.46/x
  3. Step 3: Cross multiply
    918.54x = 1,372.23 × 656.46
  4. Step 4: Simplify right side
    918.54x = 900,814.11
  5. Step 5: Solve for x
    x = 900,814.11/918.54
  6. Step 6: Final answer
    x = 980.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.