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Finding the Fourth Proportional to 1,140.60, 1,710.76 and 491.25

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Solution

The fourth proportional to 1,140.60, 1,710.76 and 491.25 is: 736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.60 : 1,710.76 = 491.25 : x
  2. Step 2: Convert to fraction form
    1,140.60/1,710.76 = 491.25/x
  3. Step 3: Cross multiply
    1,140.60x = 1,710.76 × 491.25
  4. Step 4: Simplify right side
    1,140.60x = 840,410.85
  5. Step 5: Solve for x
    x = 840,410.85/1,140.60
  6. Step 6: Final answer
    x = 736.81

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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.