Home / 1,158.08-1,593.77-921.24

Finding the Fourth Proportional to 1,158.08, 1,593.77 and 921.24

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Solution

The fourth proportional to 1,158.08, 1,593.77 and 921.24 is: 1,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.08 : 1,593.77 = 921.24 : x
  2. Step 2: Convert to fraction form
    1,158.08/1,593.77 = 921.24/x
  3. Step 3: Cross multiply
    1,158.08x = 1,593.77 × 921.24
  4. Step 4: Simplify right side
    1,158.08x = 1,468,240.07
  5. Step 5: Solve for x
    x = 1,468,240.07/1,158.08
  6. Step 6: Final answer
    x = 1,267.83

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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.