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Finding the Fourth Proportional to 741.41, 1,023.48 and 442.77

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Solution

The fourth proportional to 741.41, 1,023.48 and 442.77 is: 611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.41 : 1,023.48 = 442.77 : x
  2. Step 2: Convert to fraction form
    741.41/1,023.48 = 442.77/x
  3. Step 3: Cross multiply
    741.41x = 1,023.48 × 442.77
  4. Step 4: Simplify right side
    741.41x = 453,162.40
  5. Step 5: Solve for x
    x = 453,162.40/741.41
  6. Step 6: Final answer
    x = 611.21

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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.