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Finding the Fourth Proportional to 884.02, 1,215.89 and 708.98

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Solution

The fourth proportional to 884.02, 1,215.89 and 708.98 is: 975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.02 : 1,215.89 = 708.98 : x
  2. Step 2: Convert to fraction form
    884.02/1,215.89 = 708.98/x
  3. Step 3: Cross multiply
    884.02x = 1,215.89 × 708.98
  4. Step 4: Simplify right side
    884.02x = 862,041.69
  5. Step 5: Solve for x
    x = 862,041.69/884.02
  6. Step 6: Final answer
    x = 975.14

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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.