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Finding the Fourth Proportional to 743.00, 1,114.19 and 280.70

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Solution

The fourth proportional to 743.00, 1,114.19 and 280.70 is: 420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.00 : 1,114.19 = 280.70 : x
  2. Step 2: Convert to fraction form
    743.00/1,114.19 = 280.70/x
  3. Step 3: Cross multiply
    743.00x = 1,114.19 × 280.70
  4. Step 4: Simplify right side
    743.00x = 312,746.16
  5. Step 5: Solve for x
    x = 312,746.16/743.00
  6. Step 6: Final answer
    x = 420.93

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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.