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Finding the Fourth Proportional to 897.80, 1,239.96 and 885.64

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Solution

The fourth proportional to 897.80, 1,239.96 and 885.64 is: 1,223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.80 : 1,239.96 = 885.64 : x
  2. Step 2: Convert to fraction form
    897.80/1,239.96 = 885.64/x
  3. Step 3: Cross multiply
    897.80x = 1,239.96 × 885.64
  4. Step 4: Simplify right side
    897.80x = 1,098,158.17
  5. Step 5: Solve for x
    x = 1,098,158.17/897.80
  6. Step 6: Final answer
    x = 1,223.17

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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.