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Finding the Fourth Proportional to 863.58, 1,191.76 and 470.63

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Solution

The fourth proportional to 863.58, 1,191.76 and 470.63 is: 649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.58 : 1,191.76 = 470.63 : x
  2. Step 2: Convert to fraction form
    863.58/1,191.76 = 470.63/x
  3. Step 3: Cross multiply
    863.58x = 1,191.76 × 470.63
  4. Step 4: Simplify right side
    863.58x = 560,875.76
  5. Step 5: Solve for x
    x = 560,875.76/863.58
  6. Step 6: Final answer
    x = 649.48

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Double scale
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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.