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Finding the Fourth Proportional to 890.83, 1,337.11 and 428.93

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Solution

The fourth proportional to 890.83, 1,337.11 and 428.93 is: 643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.83 : 1,337.11 = 428.93 : x
  2. Step 2: Convert to fraction form
    890.83/1,337.11 = 428.93/x
  3. Step 3: Cross multiply
    890.83x = 1,337.11 × 428.93
  4. Step 4: Simplify right side
    890.83x = 573,526.59
  5. Step 5: Solve for x
    x = 573,526.59/890.83
  6. Step 6: Final answer
    x = 643.81

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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.