Home / 1,048.18-1,572.32-431.87

Finding the Fourth Proportional to 1,048.18, 1,572.32 and 431.87

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Solution

The fourth proportional to 1,048.18, 1,572.32 and 431.87 is: 647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.18 : 1,572.32 = 431.87 : x
  2. Step 2: Convert to fraction form
    1,048.18/1,572.32 = 431.87/x
  3. Step 3: Cross multiply
    1,048.18x = 1,572.32 × 431.87
  4. Step 4: Simplify right side
    1,048.18x = 679,042.85
  5. Step 5: Solve for x
    x = 679,042.85/1,048.18
  6. Step 6: Final answer
    x = 647.83

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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.