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Finding the Fourth Proportional to 1,572.39, 2,358.57 and 418.14

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Solution

The fourth proportional to 1,572.39, 2,358.57 and 418.14 is: 627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.39 : 2,358.57 = 418.14 : x
  2. Step 2: Convert to fraction form
    1,572.39/2,358.57 = 418.14/x
  3. Step 3: Cross multiply
    1,572.39x = 2,358.57 × 418.14
  4. Step 4: Simplify right side
    1,572.39x = 986,212.46
  5. Step 5: Solve for x
    x = 986,212.46/1,572.39
  6. Step 6: Final answer
    x = 627.21

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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.