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Finding the Fourth Proportional to 800.15, 1,102.50 and 537.71

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Solution

The fourth proportional to 800.15, 1,102.50 and 537.71 is: 740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.15 : 1,102.50 = 537.71 : x
  2. Step 2: Convert to fraction form
    800.15/1,102.50 = 537.71/x
  3. Step 3: Cross multiply
    800.15x = 1,102.50 × 537.71
  4. Step 4: Simplify right side
    800.15x = 592,828.31
  5. Step 5: Solve for x
    x = 592,828.31/800.15
  6. Step 6: Final answer
    x = 740.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.