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Finding the Fourth Proportional to 764.77, 1,140.71 and 741.70

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Solution

The fourth proportional to 764.77, 1,140.71 and 741.70 is: 1,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.77 : 1,140.71 = 741.70 : x
  2. Step 2: Convert to fraction form
    764.77/1,140.71 = 741.70/x
  3. Step 3: Cross multiply
    764.77x = 1,140.71 × 741.70
  4. Step 4: Simplify right side
    764.77x = 846,068.30
  5. Step 5: Solve for x
    x = 846,068.30/764.77
  6. Step 6: Final answer
    x = 1,106.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.