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Finding the Fourth Proportional to 718.59, 991.80 and 457.23

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Solution

The fourth proportional to 718.59, 991.80 and 457.23 is: 631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.59 : 991.80 = 457.23 : x
  2. Step 2: Convert to fraction form
    718.59/991.80 = 457.23/x
  3. Step 3: Cross multiply
    718.59x = 991.80 × 457.23
  4. Step 4: Simplify right side
    718.59x = 453,480.71
  5. Step 5: Solve for x
    x = 453,480.71/718.59
  6. Step 6: Final answer
    x = 631.07

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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.