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Finding the Fourth Proportional to 987.10, 1,384.50 and 987.10

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Solution

The fourth proportional to 987.10, 1,384.50 and 987.10 is: 1,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.10 : 1,384.50 = 987.10 : x
  2. Step 2: Convert to fraction form
    987.10/1,384.50 = 987.10/x
  3. Step 3: Cross multiply
    987.10x = 1,384.50 × 987.10
  4. Step 4: Simplify right side
    987.10x = 1,366,639.95
  5. Step 5: Solve for x
    x = 1,366,639.95/987.10
  6. Step 6: Final answer
    x = 1,384.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.