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Finding the Fourth Proportional to 808.80, 1,115.69 and 472.76

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Solution

The fourth proportional to 808.80, 1,115.69 and 472.76 is: 652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.80 : 1,115.69 = 472.76 : x
  2. Step 2: Convert to fraction form
    808.80/1,115.69 = 472.76/x
  3. Step 3: Cross multiply
    808.80x = 1,115.69 × 472.76
  4. Step 4: Simplify right side
    808.80x = 527,453.60
  5. Step 5: Solve for x
    x = 527,453.60/808.80
  6. Step 6: Final answer
    x = 652.14

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Half scale
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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.