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Finding the Fourth Proportional to 749.53, 1,123.68 and 287.07

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Solution

The fourth proportional to 749.53, 1,123.68 and 287.07 is: 430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.53 : 1,123.68 = 287.07 : x
  2. Step 2: Convert to fraction form
    749.53/1,123.68 = 287.07/x
  3. Step 3: Cross multiply
    749.53x = 1,123.68 × 287.07
  4. Step 4: Simplify right side
    749.53x = 322,574.82
  5. Step 5: Solve for x
    x = 322,574.82/749.53
  6. Step 6: Final answer
    x = 430.37

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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.