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Finding the Fourth Proportional to 741.80, 1,023.72 and 447.32

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Solution

The fourth proportional to 741.80, 1,023.72 and 447.32 is: 617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.80 : 1,023.72 = 447.32 : x
  2. Step 2: Convert to fraction form
    741.80/1,023.72 = 447.32/x
  3. Step 3: Cross multiply
    741.80x = 1,023.72 × 447.32
  4. Step 4: Simplify right side
    741.80x = 457,925.31
  5. Step 5: Solve for x
    x = 457,925.31/741.80
  6. Step 6: Final answer
    x = 617.32

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1.5x scale

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.