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Finding the Fourth Proportional to 1,104.93, 1,657.42 and 283.20

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Solution

The fourth proportional to 1,104.93, 1,657.42 and 283.20 is: 424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.93 : 1,657.42 = 283.20 : x
  2. Step 2: Convert to fraction form
    1,104.93/1,657.42 = 283.20/x
  3. Step 3: Cross multiply
    1,104.93x = 1,657.42 × 283.20
  4. Step 4: Simplify right side
    1,104.93x = 469,381.34
  5. Step 5: Solve for x
    x = 469,381.34/1,104.93
  6. Step 6: Final answer
    x = 424.81

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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.