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Finding the Fourth Proportional to 741.36, 1,023.08 and 480

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Solution

The fourth proportional to 741.36, 1,023.08 and 480 is: 662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.36 : 1,023.08 = 480 : x
  2. Step 2: Convert to fraction form
    741.36/1,023.08 = 480/x
  3. Step 3: Cross multiply
    741.36x = 1,023.08 × 480
  4. Step 4: Simplify right side
    741.36x = 491,078.40
  5. Step 5: Solve for x
    x = 491,078.40/741.36
  6. Step 6: Final answer
    x = 662.40

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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.