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Finding the Fourth Proportional to 1,117.33, 1,676.45 and 500.61

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Solution

The fourth proportional to 1,117.33, 1,676.45 and 500.61 is: 751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.33 : 1,676.45 = 500.61 : x
  2. Step 2: Convert to fraction form
    1,117.33/1,676.45 = 500.61/x
  3. Step 3: Cross multiply
    1,117.33x = 1,676.45 × 500.61
  4. Step 4: Simplify right side
    1,117.33x = 839,247.63
  5. Step 5: Solve for x
    x = 839,247.63/1,117.33
  6. Step 6: Final answer
    x = 751.12

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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.