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Finding the Fourth Proportional to 760.68, 1,134.69 and 687.72

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Solution

The fourth proportional to 760.68, 1,134.69 and 687.72 is: 1,025.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.68 : 1,134.69 = 687.72 : x
  2. Step 2: Convert to fraction form
    760.68/1,134.69 = 687.72/x
  3. Step 3: Cross multiply
    760.68x = 1,134.69 × 687.72
  4. Step 4: Simplify right side
    760.68x = 780,349.01
  5. Step 5: Solve for x
    x = 780,349.01/760.68
  6. Step 6: Final answer
    x = 1,025.86

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1.5x scale

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.