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Finding the Fourth Proportional to 782.60, 1,174.28 and 436.19

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Solution

The fourth proportional to 782.60, 1,174.28 and 436.19 is: 654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.60 : 1,174.28 = 436.19 : x
  2. Step 2: Convert to fraction form
    782.60/1,174.28 = 436.19/x
  3. Step 3: Cross multiply
    782.60x = 1,174.28 × 436.19
  4. Step 4: Simplify right side
    782.60x = 512,201.14
  5. Step 5: Solve for x
    x = 512,201.14/782.60
  6. Step 6: Final answer
    x = 654.49

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.