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Finding the Fourth Proportional to 890.38, 1,335.93 and 875.80

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Solution

The fourth proportional to 890.38, 1,335.93 and 875.80 is: 1,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.38 : 1,335.93 = 875.80 : x
  2. Step 2: Convert to fraction form
    890.38/1,335.93 = 875.80/x
  3. Step 3: Cross multiply
    890.38x = 1,335.93 × 875.80
  4. Step 4: Simplify right side
    890.38x = 1,170,007.49
  5. Step 5: Solve for x
    x = 1,170,007.49/890.38
  6. Step 6: Final answer
    x = 1,314.05

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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.