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Finding the Fourth Proportional to 890.16, 1,333.78 and 542.45

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Solution

The fourth proportional to 890.16, 1,333.78 and 542.45 is: 812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.16 : 1,333.78 = 542.45 : x
  2. Step 2: Convert to fraction form
    890.16/1,333.78 = 542.45/x
  3. Step 3: Cross multiply
    890.16x = 1,333.78 × 542.45
  4. Step 4: Simplify right side
    890.16x = 723,508.96
  5. Step 5: Solve for x
    x = 723,508.96/890.16
  6. Step 6: Final answer
    x = 812.79

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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.