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Finding the Fourth Proportional to 987.27, 1,478.27 and 870.50

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Solution

The fourth proportional to 987.27, 1,478.27 and 870.50 is: 1,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.27 : 1,478.27 = 870.50 : x
  2. Step 2: Convert to fraction form
    987.27/1,478.27 = 870.50/x
  3. Step 3: Cross multiply
    987.27x = 1,478.27 × 870.50
  4. Step 4: Simplify right side
    987.27x = 1,286,822.29
  5. Step 5: Solve for x
    x = 1,286,822.29/987.27
  6. Step 6: Final answer
    x = 1,303.41

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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.