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Finding the Fourth Proportional to 749.26, 1,123.95 and 287.02

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Solution

The fourth proportional to 749.26, 1,123.95 and 287.02 is: 430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.26 : 1,123.95 = 287.02 : x
  2. Step 2: Convert to fraction form
    749.26/1,123.95 = 287.02/x
  3. Step 3: Cross multiply
    749.26x = 1,123.95 × 287.02
  4. Step 4: Simplify right side
    749.26x = 322,590.51
  5. Step 5: Solve for x
    x = 322,590.51/749.26
  6. Step 6: Final answer
    x = 430.55

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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.