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Finding the Fourth Proportional to 713.46, 1,070.52 and 323.56

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Solution

The fourth proportional to 713.46, 1,070.52 and 323.56 is: 485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.46 : 1,070.52 = 323.56 : x
  2. Step 2: Convert to fraction form
    713.46/1,070.52 = 323.56/x
  3. Step 3: Cross multiply
    713.46x = 1,070.52 × 323.56
  4. Step 4: Simplify right side
    713.46x = 346,377.45
  5. Step 5: Solve for x
    x = 346,377.45/713.46
  6. Step 6: Final answer
    x = 485.49

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Double scale
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1.5x scale

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.