Home / 1,437.38-2,154.71-462.81

Finding the Fourth Proportional to 1,437.38, 2,154.71 and 462.81

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Solution

The fourth proportional to 1,437.38, 2,154.71 and 462.81 is: 693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.38 : 2,154.71 = 462.81 : x
  2. Step 2: Convert to fraction form
    1,437.38/2,154.71 = 462.81/x
  3. Step 3: Cross multiply
    1,437.38x = 2,154.71 × 462.81
  4. Step 4: Simplify right side
    1,437.38x = 997,219.02
  5. Step 5: Solve for x
    x = 997,219.02/1,437.38
  6. Step 6: Final answer
    x = 693.78

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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.