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Finding the Fourth Proportional to 738.75, 1,017.76 and 517.30

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Solution

The fourth proportional to 738.75, 1,017.76 and 517.30 is: 712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.75 : 1,017.76 = 517.30 : x
  2. Step 2: Convert to fraction form
    738.75/1,017.76 = 517.30/x
  3. Step 3: Cross multiply
    738.75x = 1,017.76 × 517.30
  4. Step 4: Simplify right side
    738.75x = 526,487.25
  5. Step 5: Solve for x
    x = 526,487.25/738.75
  6. Step 6: Final answer
    x = 712.67

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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.