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Finding the Fourth Proportional to 713.54, 983.22 and 526.74

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Solution

The fourth proportional to 713.54, 983.22 and 526.74 is: 725.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.54 : 983.22 = 526.74 : x
  2. Step 2: Convert to fraction form
    713.54/983.22 = 526.74/x
  3. Step 3: Cross multiply
    713.54x = 983.22 × 526.74
  4. Step 4: Simplify right side
    713.54x = 517,901.30
  5. Step 5: Solve for x
    x = 517,901.30/713.54
  6. Step 6: Final answer
    x = 725.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.