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Finding the Fourth Proportional to 1,159.86, 1,729.45 and 1,031.07

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Solution

The fourth proportional to 1,159.86, 1,729.45 and 1,031.07 is: 1,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.86 : 1,729.45 = 1,031.07 : x
  2. Step 2: Convert to fraction form
    1,159.86/1,729.45 = 1,031.07/x
  3. Step 3: Cross multiply
    1,159.86x = 1,729.45 × 1,031.07
  4. Step 4: Simplify right side
    1,159.86x = 1,783,191.79
  5. Step 5: Solve for x
    x = 1,783,191.79/1,159.86
  6. Step 6: Final answer
    x = 1,537.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.