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Finding the Fourth Proportional to 784.74, 1,175.58 and 695.46

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Solution

The fourth proportional to 784.74, 1,175.58 and 695.46 is: 1,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.74 : 1,175.58 = 695.46 : x
  2. Step 2: Convert to fraction form
    784.74/1,175.58 = 695.46/x
  3. Step 3: Cross multiply
    784.74x = 1,175.58 × 695.46
  4. Step 4: Simplify right side
    784.74x = 817,568.87
  5. Step 5: Solve for x
    x = 817,568.87/784.74
  6. Step 6: Final answer
    x = 1,041.83

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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.