Home / 1,572.24-2,358.16-417.92

Finding the Fourth Proportional to 1,572.24, 2,358.16 and 417.92

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Solution

The fourth proportional to 1,572.24, 2,358.16 and 417.92 is: 626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.24 : 2,358.16 = 417.92 : x
  2. Step 2: Convert to fraction form
    1,572.24/2,358.16 = 417.92/x
  3. Step 3: Cross multiply
    1,572.24x = 2,358.16 × 417.92
  4. Step 4: Simplify right side
    1,572.24x = 985,522.23
  5. Step 5: Solve for x
    x = 985,522.23/1,572.24
  6. Step 6: Final answer
    x = 626.83

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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.