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Finding the Fourth Proportional to 1,111.30, 1,666.95 and 591.10

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Solution

The fourth proportional to 1,111.30, 1,666.95 and 591.10 is: 886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.30 : 1,666.95 = 591.10 : x
  2. Step 2: Convert to fraction form
    1,111.30/1,666.95 = 591.10/x
  3. Step 3: Cross multiply
    1,111.30x = 1,666.95 × 591.10
  4. Step 4: Simplify right side
    1,111.30x = 985,334.15
  5. Step 5: Solve for x
    x = 985,334.15/1,111.30
  6. Step 6: Final answer
    x = 886.65

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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.