Home / 1,437.14-2,154.32-462.58

Finding the Fourth Proportional to 1,437.14, 2,154.32 and 462.58

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Solution

The fourth proportional to 1,437.14, 2,154.32 and 462.58 is: 693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.14 : 2,154.32 = 462.58 : x
  2. Step 2: Convert to fraction form
    1,437.14/2,154.32 = 462.58/x
  3. Step 3: Cross multiply
    1,437.14x = 2,154.32 × 462.58
  4. Step 4: Simplify right side
    1,437.14x = 996,545.35
  5. Step 5: Solve for x
    x = 996,545.35/1,437.14
  6. Step 6: Final answer
    x = 693.42

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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.