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Finding the Fourth Proportional to 747.00, 1,030.78 and 415.39

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Solution

The fourth proportional to 747.00, 1,030.78 and 415.39 is: 573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.00 : 1,030.78 = 415.39 : x
  2. Step 2: Convert to fraction form
    747.00/1,030.78 = 415.39/x
  3. Step 3: Cross multiply
    747.00x = 1,030.78 × 415.39
  4. Step 4: Simplify right side
    747.00x = 428,175.70
  5. Step 5: Solve for x
    x = 428,175.70/747.00
  6. Step 6: Final answer
    x = 573.20

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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.