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Finding the Fourth Proportional to 1,437.40, 1,983.18 and 912.52

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Solution

The fourth proportional to 1,437.40, 1,983.18 and 912.52 is: 1,259.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.40 : 1,983.18 = 912.52 : x
  2. Step 2: Convert to fraction form
    1,437.40/1,983.18 = 912.52/x
  3. Step 3: Cross multiply
    1,437.40x = 1,983.18 × 912.52
  4. Step 4: Simplify right side
    1,437.40x = 1,809,691.41
  5. Step 5: Solve for x
    x = 1,809,691.41/1,437.40
  6. Step 6: Final answer
    x = 1,259.00

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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.