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Finding the Fourth Proportional to 743.56, 1,026.20 and 444.96

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Solution

The fourth proportional to 743.56, 1,026.20 and 444.96 is: 614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.56 : 1,026.20 = 444.96 : x
  2. Step 2: Convert to fraction form
    743.56/1,026.20 = 444.96/x
  3. Step 3: Cross multiply
    743.56x = 1,026.20 × 444.96
  4. Step 4: Simplify right side
    743.56x = 456,617.95
  5. Step 5: Solve for x
    x = 456,617.95/743.56
  6. Step 6: Final answer
    x = 614.10

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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.