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Finding the Fourth Proportional to 723.48, 1,078.34 and 682.47

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Solution

The fourth proportional to 723.48, 1,078.34 and 682.47 is: 1,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.48 : 1,078.34 = 682.47 : x
  2. Step 2: Convert to fraction form
    723.48/1,078.34 = 682.47/x
  3. Step 3: Cross multiply
    723.48x = 1,078.34 × 682.47
  4. Step 4: Simplify right side
    723.48x = 735,931.29
  5. Step 5: Solve for x
    x = 735,931.29/723.48
  6. Step 6: Final answer
    x = 1,017.21

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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.