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Finding the Fourth Proportional to 887.40, 1,328.85 and 805.32

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Solution

The fourth proportional to 887.40, 1,328.85 and 805.32 is: 1,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.40 : 1,328.85 = 805.32 : x
  2. Step 2: Convert to fraction form
    887.40/1,328.85 = 805.32/x
  3. Step 3: Cross multiply
    887.40x = 1,328.85 × 805.32
  4. Step 4: Simplify right side
    887.40x = 1,070,149.48
  5. Step 5: Solve for x
    x = 1,070,149.48/887.40
  6. Step 6: Final answer
    x = 1,205.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.