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Finding the Fourth Proportional to 838.56, 1,154.40 and 707.52

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Solution

The fourth proportional to 838.56, 1,154.40 and 707.52 is: 974.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.56 : 1,154.40 = 707.52 : x
  2. Step 2: Convert to fraction form
    838.56/1,154.40 = 707.52/x
  3. Step 3: Cross multiply
    838.56x = 1,154.40 × 707.52
  4. Step 4: Simplify right side
    838.56x = 816,761.09
  5. Step 5: Solve for x
    x = 816,761.09/838.56
  6. Step 6: Final answer
    x = 974.00

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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.