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Finding the Fourth Proportional to 741.12, 1,022.50 and 555.28

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Solution

The fourth proportional to 741.12, 1,022.50 and 555.28 is: 766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.12 : 1,022.50 = 555.28 : x
  2. Step 2: Convert to fraction form
    741.12/1,022.50 = 555.28/x
  3. Step 3: Cross multiply
    741.12x = 1,022.50 × 555.28
  4. Step 4: Simplify right side
    741.12x = 567,773.80
  5. Step 5: Solve for x
    x = 567,773.80/741.12
  6. Step 6: Final answer
    x = 766.10

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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.