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Finding the Fourth Proportional to 1,158.48, 1,737.60 and 428.16

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Solution

The fourth proportional to 1,158.48, 1,737.60 and 428.16 is: 642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.48 : 1,737.60 = 428.16 : x
  2. Step 2: Convert to fraction form
    1,158.48/1,737.60 = 428.16/x
  3. Step 3: Cross multiply
    1,158.48x = 1,737.60 × 428.16
  4. Step 4: Simplify right side
    1,158.48x = 743,970.82
  5. Step 5: Solve for x
    x = 743,970.82/1,158.48
  6. Step 6: Final answer
    x = 642.20

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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.