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Finding the Fourth Proportional to 723.88, 1,085.46 and 358.84

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Solution

The fourth proportional to 723.88, 1,085.46 and 358.84 is: 538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.88 : 1,085.46 = 358.84 : x
  2. Step 2: Convert to fraction form
    723.88/1,085.46 = 358.84/x
  3. Step 3: Cross multiply
    723.88x = 1,085.46 × 358.84
  4. Step 4: Simplify right side
    723.88x = 389,506.47
  5. Step 5: Solve for x
    x = 389,506.47/723.88
  6. Step 6: Final answer
    x = 538.08

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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.