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Finding the Fourth Proportional to 832.50, 1,148.16 and 708.54

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Solution

The fourth proportional to 832.50, 1,148.16 and 708.54 is: 977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.50 : 1,148.16 = 708.54 : x
  2. Step 2: Convert to fraction form
    832.50/1,148.16 = 708.54/x
  3. Step 3: Cross multiply
    832.50x = 1,148.16 × 708.54
  4. Step 4: Simplify right side
    832.50x = 813,517.29
  5. Step 5: Solve for x
    x = 813,517.29/832.50
  6. Step 6: Final answer
    x = 977.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.