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Finding the Fourth Proportional to 744.81, 1,027.80 and 430.13

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Solution

The fourth proportional to 744.81, 1,027.80 and 430.13 is: 593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.81 : 1,027.80 = 430.13 : x
  2. Step 2: Convert to fraction form
    744.81/1,027.80 = 430.13/x
  3. Step 3: Cross multiply
    744.81x = 1,027.80 × 430.13
  4. Step 4: Simplify right side
    744.81x = 442,082.48
  5. Step 5: Solve for x
    x = 442,082.48/744.81
  6. Step 6: Final answer
    x = 593.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.