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Finding the Fourth Proportional to 763.77, 1,053.90 and 449.00

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Solution

The fourth proportional to 763.77, 1,053.90 and 449.00 is: 619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.77 : 1,053.90 = 449.00 : x
  2. Step 2: Convert to fraction form
    763.77/1,053.90 = 449.00/x
  3. Step 3: Cross multiply
    763.77x = 1,053.90 × 449.00
  4. Step 4: Simplify right side
    763.77x = 473,195.83
  5. Step 5: Solve for x
    x = 473,195.83/763.77
  6. Step 6: Final answer
    x = 619.55

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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.