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Finding the Fourth Proportional to 741.84, 1,024.10 and 480.03

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Solution

The fourth proportional to 741.84, 1,024.10 and 480.03 is: 662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.84 : 1,024.10 = 480.03 : x
  2. Step 2: Convert to fraction form
    741.84/1,024.10 = 480.03/x
  3. Step 3: Cross multiply
    741.84x = 1,024.10 × 480.03
  4. Step 4: Simplify right side
    741.84x = 491,591.20
  5. Step 5: Solve for x
    x = 491,591.20/741.84
  6. Step 6: Final answer
    x = 662.67

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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.