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Finding the Fourth Proportional to 742.98, 1,109.95 and 480.84

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Solution

The fourth proportional to 742.98, 1,109.95 and 480.84 is: 718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.98 : 1,109.95 = 480.84 : x
  2. Step 2: Convert to fraction form
    742.98/1,109.95 = 480.84/x
  3. Step 3: Cross multiply
    742.98x = 1,109.95 × 480.84
  4. Step 4: Simplify right side
    742.98x = 533,711.13
  5. Step 5: Solve for x
    x = 533,711.13/742.98
  6. Step 6: Final answer
    x = 718.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.