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Finding the Fourth Proportional to 763.48, 1,144.20 and 397.50

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Solution

The fourth proportional to 763.48, 1,144.20 and 397.50 is: 595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.48 : 1,144.20 = 397.50 : x
  2. Step 2: Convert to fraction form
    763.48/1,144.20 = 397.50/x
  3. Step 3: Cross multiply
    763.48x = 1,144.20 × 397.50
  4. Step 4: Simplify right side
    763.48x = 454,819.50
  5. Step 5: Solve for x
    x = 454,819.50/763.48
  6. Step 6: Final answer
    x = 595.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.