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Finding the Fourth Proportional to 743.20, 1,114.80 and 498.40

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Solution

The fourth proportional to 743.20, 1,114.80 and 498.40 is: 747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.20 : 1,114.80 = 498.40 : x
  2. Step 2: Convert to fraction form
    743.20/1,114.80 = 498.40/x
  3. Step 3: Cross multiply
    743.20x = 1,114.80 × 498.40
  4. Step 4: Simplify right side
    743.20x = 555,616.32
  5. Step 5: Solve for x
    x = 555,616.32/743.20
  6. Step 6: Final answer
    x = 747.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.