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Finding the Fourth Proportional to 890.58, 1,332.72 and 543.78

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Solution

The fourth proportional to 890.58, 1,332.72 and 543.78 is: 813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.58 : 1,332.72 = 543.78 : x
  2. Step 2: Convert to fraction form
    890.58/1,332.72 = 543.78/x
  3. Step 3: Cross multiply
    890.58x = 1,332.72 × 543.78
  4. Step 4: Simplify right side
    890.58x = 724,706.48
  5. Step 5: Solve for x
    x = 724,706.48/890.58
  6. Step 6: Final answer
    x = 813.75

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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.