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Finding the Fourth Proportional to 851.40, 1,174.32 and 598.92

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Solution

The fourth proportional to 851.40, 1,174.32 and 598.92 is: 826.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.40 : 1,174.32 = 598.92 : x
  2. Step 2: Convert to fraction form
    851.40/1,174.32 = 598.92/x
  3. Step 3: Cross multiply
    851.40x = 1,174.32 × 598.92
  4. Step 4: Simplify right side
    851.40x = 703,323.73
  5. Step 5: Solve for x
    x = 703,323.73/851.40
  6. Step 6: Final answer
    x = 826.08

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Double scale
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1.5x scale

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.