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Finding the Fourth Proportional to 718.11, 1,075.13 and 457.46

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Solution

The fourth proportional to 718.11, 1,075.13 and 457.46 is: 684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.11 : 1,075.13 = 457.46 : x
  2. Step 2: Convert to fraction form
    718.11/1,075.13 = 457.46/x
  3. Step 3: Cross multiply
    718.11x = 1,075.13 × 457.46
  4. Step 4: Simplify right side
    718.11x = 491,828.97
  5. Step 5: Solve for x
    x = 491,828.97/718.11
  6. Step 6: Final answer
    x = 684.89

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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.