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Finding the Fourth Proportional to 743.77, 1,114.69 and 414.70

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Solution

The fourth proportional to 743.77, 1,114.69 and 414.70 is: 621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.77 : 1,114.69 = 414.70 : x
  2. Step 2: Convert to fraction form
    743.77/1,114.69 = 414.70/x
  3. Step 3: Cross multiply
    743.77x = 1,114.69 × 414.70
  4. Step 4: Simplify right side
    743.77x = 462,256.95
  5. Step 5: Solve for x
    x = 462,256.95/743.77
  6. Step 6: Final answer
    x = 621.50

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Double scale
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1.5x scale

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.