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Finding the Fourth Proportional to 1,140.57, 1,709.78 and 491.76

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Solution

The fourth proportional to 1,140.57, 1,709.78 and 491.76 is: 737.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.57 : 1,709.78 = 491.76 : x
  2. Step 2: Convert to fraction form
    1,140.57/1,709.78 = 491.76/x
  3. Step 3: Cross multiply
    1,140.57x = 1,709.78 × 491.76
  4. Step 4: Simplify right side
    1,140.57x = 840,798.95
  5. Step 5: Solve for x
    x = 840,798.95/1,140.57
  6. Step 6: Final answer
    x = 737.17

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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.