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Finding the Fourth Proportional to 882.98, 1,217.98 and 705.79

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Solution

The fourth proportional to 882.98, 1,217.98 and 705.79 is: 973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.98 : 1,217.98 = 705.79 : x
  2. Step 2: Convert to fraction form
    882.98/1,217.98 = 705.79/x
  3. Step 3: Cross multiply
    882.98x = 1,217.98 × 705.79
  4. Step 4: Simplify right side
    882.98x = 859,638.10
  5. Step 5: Solve for x
    x = 859,638.10/882.98
  6. Step 6: Final answer
    x = 973.56

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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.