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Finding the Fourth Proportional to 747, 1,030.82 and 415.41

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Solution

The fourth proportional to 747, 1,030.82 and 415.41 is: 573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    747 : 1,030.82 = 415.41 : x
  2. Step 2: Convert to fraction form
    747/1,030.82 = 415.41/x
  3. Step 3: Cross multiply
    747x = 1,030.82 × 415.41
  4. Step 4: Simplify right side
    747x = 428,210.86
  5. Step 5: Solve for x
    x = 428,210.86/747
  6. Step 6: Final answer
    x = 573.24

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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.