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Finding the Fourth Proportional to 987.84, 1,478.28 and 852.48

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Solution

The fourth proportional to 987.84, 1,478.28 and 852.48 is: 1,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.84 : 1,478.28 = 852.48 : x
  2. Step 2: Convert to fraction form
    987.84/1,478.28 = 852.48/x
  3. Step 3: Cross multiply
    987.84x = 1,478.28 × 852.48
  4. Step 4: Simplify right side
    987.84x = 1,260,204.13
  5. Step 5: Solve for x
    x = 1,260,204.13/987.84
  6. Step 6: Final answer
    x = 1,275.72

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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.