Home / 1,159.24-1,739.18-500.78

Finding the Fourth Proportional to 1,159.24, 1,739.18 and 500.78

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Solution

The fourth proportional to 1,159.24, 1,739.18 and 500.78 is: 751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.24 : 1,739.18 = 500.78 : x
  2. Step 2: Convert to fraction form
    1,159.24/1,739.18 = 500.78/x
  3. Step 3: Cross multiply
    1,159.24x = 1,739.18 × 500.78
  4. Step 4: Simplify right side
    1,159.24x = 870,937.86
  5. Step 5: Solve for x
    x = 870,937.86/1,159.24
  6. Step 6: Final answer
    x = 751.30

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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.