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Finding the Fourth Proportional to 719.30, 1,070.78 and 685.76

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Solution

The fourth proportional to 719.30, 1,070.78 and 685.76 is: 1,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.30 : 1,070.78 = 685.76 : x
  2. Step 2: Convert to fraction form
    719.30/1,070.78 = 685.76/x
  3. Step 3: Cross multiply
    719.30x = 1,070.78 × 685.76
  4. Step 4: Simplify right side
    719.30x = 734,293.17
  5. Step 5: Solve for x
    x = 734,293.17/719.30
  6. Step 6: Final answer
    x = 1,020.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.