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Finding the Fourth Proportional to 470.24, 648.24 and 382.76

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Solution

The fourth proportional to 470.24, 648.24 and 382.76 is: 527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.24 : 648.24 = 382.76 : x
  2. Step 2: Convert to fraction form
    470.24/648.24 = 382.76/x
  3. Step 3: Cross multiply
    470.24x = 648.24 × 382.76
  4. Step 4: Simplify right side
    470.24x = 248,120.34
  5. Step 5: Solve for x
    x = 248,120.34/470.24
  6. Step 6: Final answer
    x = 527.65

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Find fourth proportional to 235.12, 324.12 and 191.38
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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.