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Finding the Fourth Proportional to 701.43, 969.48 and 526.47

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Solution

The fourth proportional to 701.43, 969.48 and 526.47 is: 727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.43 : 969.48 = 526.47 : x
  2. Step 2: Convert to fraction form
    701.43/969.48 = 526.47/x
  3. Step 3: Cross multiply
    701.43x = 969.48 × 526.47
  4. Step 4: Simplify right side
    701.43x = 510,402.14
  5. Step 5: Solve for x
    x = 510,402.14/701.43
  6. Step 6: Final answer
    x = 727.66

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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.