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Finding the Fourth Proportional to 1,437.24, 1,982.92 and 877.50

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Solution

The fourth proportional to 1,437.24, 1,982.92 and 877.50 is: 1,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.24 : 1,982.92 = 877.50 : x
  2. Step 2: Convert to fraction form
    1,437.24/1,982.92 = 877.50/x
  3. Step 3: Cross multiply
    1,437.24x = 1,982.92 × 877.50
  4. Step 4: Simplify right side
    1,437.24x = 1,740,012.30
  5. Step 5: Solve for x
    x = 1,740,012.30/1,437.24
  6. Step 6: Final answer
    x = 1,210.66

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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.