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Finding the Fourth Proportional to 865.60, 1,298.40 and 475.45

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Solution

The fourth proportional to 865.60, 1,298.40 and 475.45 is: 713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.60 : 1,298.40 = 475.45 : x
  2. Step 2: Convert to fraction form
    865.60/1,298.40 = 475.45/x
  3. Step 3: Cross multiply
    865.60x = 1,298.40 × 475.45
  4. Step 4: Simplify right side
    865.60x = 617,324.28
  5. Step 5: Solve for x
    x = 617,324.28/865.60
  6. Step 6: Final answer
    x = 713.18

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Double scale
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Similar ratio
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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.