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Finding the Fourth Proportional to 1,061.80, 1,584.95 and 988.84

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Solution

The fourth proportional to 1,061.80, 1,584.95 and 988.84 is: 1,476.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.80 : 1,584.95 = 988.84 : x
  2. Step 2: Convert to fraction form
    1,061.80/1,584.95 = 988.84/x
  3. Step 3: Cross multiply
    1,061.80x = 1,584.95 × 988.84
  4. Step 4: Simplify right side
    1,061.80x = 1,567,261.96
  5. Step 5: Solve for x
    x = 1,567,261.96/1,061.80
  6. Step 6: Final answer
    x = 1,476.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.