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Finding the Fourth Proportional to 1,140.57, 1,574.16 and 668.74

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Solution

The fourth proportional to 1,140.57, 1,574.16 and 668.74 is: 922.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.57 : 1,574.16 = 668.74 : x
  2. Step 2: Convert to fraction form
    1,140.57/1,574.16 = 668.74/x
  3. Step 3: Cross multiply
    1,140.57x = 1,574.16 × 668.74
  4. Step 4: Simplify right side
    1,140.57x = 1,052,703.76
  5. Step 5: Solve for x
    x = 1,052,703.76/1,140.57
  6. Step 6: Final answer
    x = 922.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.