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Finding the Fourth Proportional to 1,129.46, 1,693.62 and 398.93

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Solution

The fourth proportional to 1,129.46, 1,693.62 and 398.93 is: 598.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.46 : 1,693.62 = 398.93 : x
  2. Step 2: Convert to fraction form
    1,129.46/1,693.62 = 398.93/x
  3. Step 3: Cross multiply
    1,129.46x = 1,693.62 × 398.93
  4. Step 4: Simplify right side
    1,129.46x = 675,635.83
  5. Step 5: Solve for x
    x = 675,635.83/1,129.46
  6. Step 6: Final answer
    x = 598.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.