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Finding the Fourth Proportional to 743.65, 1,026.30 and 449.16

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Solution

The fourth proportional to 743.65, 1,026.30 and 449.16 is: 619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.65 : 1,026.30 = 449.16 : x
  2. Step 2: Convert to fraction form
    743.65/1,026.30 = 449.16/x
  3. Step 3: Cross multiply
    743.65x = 1,026.30 × 449.16
  4. Step 4: Simplify right side
    743.65x = 460,967.78
  5. Step 5: Solve for x
    x = 460,967.78/743.65
  6. Step 6: Final answer
    x = 619.88

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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.