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Finding the Fourth Proportional to 744.25, 1,117.23 and 436.33

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Solution

The fourth proportional to 744.25, 1,117.23 and 436.33 is: 654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.25 : 1,117.23 = 436.33 : x
  2. Step 2: Convert to fraction form
    744.25/1,117.23 = 436.33/x
  3. Step 3: Cross multiply
    744.25x = 1,117.23 × 436.33
  4. Step 4: Simplify right side
    744.25x = 487,475.38
  5. Step 5: Solve for x
    x = 487,475.38/744.25
  6. Step 6: Final answer
    x = 654.99

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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.