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Finding the Fourth Proportional to 1,117.89, 1,677.78 and 469.08

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Solution

The fourth proportional to 1,117.89, 1,677.78 and 469.08 is: 704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.89 : 1,677.78 = 469.08 : x
  2. Step 2: Convert to fraction form
    1,117.89/1,677.78 = 469.08/x
  3. Step 3: Cross multiply
    1,117.89x = 1,677.78 × 469.08
  4. Step 4: Simplify right side
    1,117.89x = 787,013.04
  5. Step 5: Solve for x
    x = 787,013.04/1,117.89
  6. Step 6: Final answer
    x = 704.02

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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.