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Finding the Fourth Proportional to 1,572.50, 2,358.89 and 418.25

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Solution

The fourth proportional to 1,572.50, 2,358.89 and 418.25 is: 627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.50 : 2,358.89 = 418.25 : x
  2. Step 2: Convert to fraction form
    1,572.50/2,358.89 = 418.25/x
  3. Step 3: Cross multiply
    1,572.50x = 2,358.89 × 418.25
  4. Step 4: Simplify right side
    1,572.50x = 986,605.74
  5. Step 5: Solve for x
    x = 986,605.74/1,572.50
  6. Step 6: Final answer
    x = 627.41

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1.5x scale

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.