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Finding the Fourth Proportional to 712.80, 984.15 and 526.30

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Solution

The fourth proportional to 712.80, 984.15 and 526.30 is: 726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.80 : 984.15 = 526.30 : x
  2. Step 2: Convert to fraction form
    712.80/984.15 = 526.30/x
  3. Step 3: Cross multiply
    712.80x = 984.15 × 526.30
  4. Step 4: Simplify right side
    712.80x = 517,955.68
  5. Step 5: Solve for x
    x = 517,955.68/712.80
  6. Step 6: Final answer
    x = 726.65

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1.5x scale

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.