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Finding the Fourth Proportional to 882.57, 1,218.06 and 708.42

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Solution

The fourth proportional to 882.57, 1,218.06 and 708.42 is: 977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.57 : 1,218.06 = 708.42 : x
  2. Step 2: Convert to fraction form
    882.57/1,218.06 = 708.42/x
  3. Step 3: Cross multiply
    882.57x = 1,218.06 × 708.42
  4. Step 4: Simplify right side
    882.57x = 862,898.07
  5. Step 5: Solve for x
    x = 862,898.07/882.57
  6. Step 6: Final answer
    x = 977.71

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1.5x scale

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.