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Finding the Fourth Proportional to 718.48, 1,075.14 and 676.90

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Solution

The fourth proportional to 718.48, 1,075.14 and 676.90 is: 1,012.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.48 : 1,075.14 = 676.90 : x
  2. Step 2: Convert to fraction form
    718.48/1,075.14 = 676.90/x
  3. Step 3: Cross multiply
    718.48x = 1,075.14 × 676.90
  4. Step 4: Simplify right side
    718.48x = 727,762.27
  5. Step 5: Solve for x
    x = 727,762.27/718.48
  6. Step 6: Final answer
    x = 1,012.92

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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.