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Finding the Fourth Proportional to 887.32, 1,328.61 and 783.50

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Solution

The fourth proportional to 887.32, 1,328.61 and 783.50 is: 1,173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.32 : 1,328.61 = 783.50 : x
  2. Step 2: Convert to fraction form
    887.32/1,328.61 = 783.50/x
  3. Step 3: Cross multiply
    887.32x = 1,328.61 × 783.50
  4. Step 4: Simplify right side
    887.32x = 1,040,972.19
  5. Step 5: Solve for x
    x = 1,040,972.19/887.32
  6. Step 6: Final answer
    x = 1,173.17

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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.