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Finding the Fourth Proportional to 1,158.04, 1,728.77 and 1,005.04

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Solution

The fourth proportional to 1,158.04, 1,728.77 and 1,005.04 is: 1,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.04 : 1,728.77 = 1,005.04 : x
  2. Step 2: Convert to fraction form
    1,158.04/1,728.77 = 1,005.04/x
  3. Step 3: Cross multiply
    1,158.04x = 1,728.77 × 1,005.04
  4. Step 4: Simplify right side
    1,158.04x = 1,737,483.00
  5. Step 5: Solve for x
    x = 1,737,483.00/1,158.04
  6. Step 6: Final answer
    x = 1,500.37

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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.