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Finding the Fourth Proportional to 1,140.83, 1,711.54 and 319.11

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Solution

The fourth proportional to 1,140.83, 1,711.54 and 319.11 is: 478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.83 : 1,711.54 = 319.11 : x
  2. Step 2: Convert to fraction form
    1,140.83/1,711.54 = 319.11/x
  3. Step 3: Cross multiply
    1,140.83x = 1,711.54 × 319.11
  4. Step 4: Simplify right side
    1,140.83x = 546,159.38
  5. Step 5: Solve for x
    x = 546,159.38/1,140.83
  6. Step 6: Final answer
    x = 478.74

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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.