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Finding the Fourth Proportional to 712.23, 1,068.71 and 657.15

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Solution

The fourth proportional to 712.23, 1,068.71 and 657.15 is: 986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.23 : 1,068.71 = 657.15 : x
  2. Step 2: Convert to fraction form
    712.23/1,068.71 = 657.15/x
  3. Step 3: Cross multiply
    712.23x = 1,068.71 × 657.15
  4. Step 4: Simplify right side
    712.23x = 702,299.49
  5. Step 5: Solve for x
    x = 702,299.49/712.23
  6. Step 6: Final answer
    x = 986.06

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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.