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Finding the Fourth Proportional to 747.05, 1,030.92 and 436.55

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Solution

The fourth proportional to 747.05, 1,030.92 and 436.55 is: 602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.05 : 1,030.92 = 436.55 : x
  2. Step 2: Convert to fraction form
    747.05/1,030.92 = 436.55/x
  3. Step 3: Cross multiply
    747.05x = 1,030.92 × 436.55
  4. Step 4: Simplify right side
    747.05x = 450,048.13
  5. Step 5: Solve for x
    x = 450,048.13/747.05
  6. Step 6: Final answer
    x = 602.43

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