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Finding the Fourth Proportional to 1,010.46, 1,393.80 and 656.04

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Solution

The fourth proportional to 1,010.46, 1,393.80 and 656.04 is: 904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.46 : 1,393.80 = 656.04 : x
  2. Step 2: Convert to fraction form
    1,010.46/1,393.80 = 656.04/x
  3. Step 3: Cross multiply
    1,010.46x = 1,393.80 × 656.04
  4. Step 4: Simplify right side
    1,010.46x = 914,388.55
  5. Step 5: Solve for x
    x = 914,388.55/1,010.46
  6. Step 6: Final answer
    x = 904.92

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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.