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Finding the Fourth Proportional to 914.48, 1,372.08 and 452.24

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Solution

The fourth proportional to 914.48, 1,372.08 and 452.24 is: 678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.48 : 1,372.08 = 452.24 : x
  2. Step 2: Convert to fraction form
    914.48/1,372.08 = 452.24/x
  3. Step 3: Cross multiply
    914.48x = 1,372.08 × 452.24
  4. Step 4: Simplify right side
    914.48x = 620,507.20
  5. Step 5: Solve for x
    x = 620,507.20/914.48
  6. Step 6: Final answer
    x = 678.54

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Double scale
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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.