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Finding the Fourth Proportional to 701.67, 968.40 and 526.71

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Solution

The fourth proportional to 701.67, 968.40 and 526.71 is: 726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.67 : 968.40 = 526.71 : x
  2. Step 2: Convert to fraction form
    701.67/968.40 = 526.71/x
  3. Step 3: Cross multiply
    701.67x = 968.40 × 526.71
  4. Step 4: Simplify right side
    701.67x = 510,065.96
  5. Step 5: Solve for x
    x = 510,065.96/701.67
  6. Step 6: Final answer
    x = 726.93

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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.