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Finding the Fourth Proportional to 712.48, 1,069.08 and 657.40

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Solution

The fourth proportional to 712.48, 1,069.08 and 657.40 is: 986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.48 : 1,069.08 = 657.40 : x
  2. Step 2: Convert to fraction form
    712.48/1,069.08 = 657.40/x
  3. Step 3: Cross multiply
    712.48x = 1,069.08 × 657.40
  4. Step 4: Simplify right side
    712.48x = 702,813.19
  5. Step 5: Solve for x
    x = 702,813.19/712.48
  6. Step 6: Final answer
    x = 986.43

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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.