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Finding the Fourth Proportional to 1,159.79, 1,740 and 611.82

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Solution

The fourth proportional to 1,159.79, 1,740 and 611.82 is: 917.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.79 : 1,740 = 611.82 : x
  2. Step 2: Convert to fraction form
    1,159.79/1,740 = 611.82/x
  3. Step 3: Cross multiply
    1,159.79x = 1,740 × 611.82
  4. Step 4: Simplify right side
    1,159.79x = 1,064,566.80
  5. Step 5: Solve for x
    x = 1,064,566.80/1,159.79
  6. Step 6: Final answer
    x = 917.90

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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.