Home / 1,115.16-1,538.98-617.86

Finding the Fourth Proportional to 1,115.16, 1,538.98 and 617.86

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Solution

The fourth proportional to 1,115.16, 1,538.98 and 617.86 is: 852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.16 : 1,538.98 = 617.86 : x
  2. Step 2: Convert to fraction form
    1,115.16/1,538.98 = 617.86/x
  3. Step 3: Cross multiply
    1,115.16x = 1,538.98 × 617.86
  4. Step 4: Simplify right side
    1,115.16x = 950,874.18
  5. Step 5: Solve for x
    x = 950,874.18/1,115.16
  6. Step 6: Final answer
    x = 852.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.