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Finding the Fourth Proportional to 987.02, 1,479.86 and 486.63

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Solution

The fourth proportional to 987.02, 1,479.86 and 486.63 is: 729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.02 : 1,479.86 = 486.63 : x
  2. Step 2: Convert to fraction form
    987.02/1,479.86 = 486.63/x
  3. Step 3: Cross multiply
    987.02x = 1,479.86 × 486.63
  4. Step 4: Simplify right side
    987.02x = 720,144.27
  5. Step 5: Solve for x
    x = 720,144.27/987.02
  6. Step 6: Final answer
    x = 729.61

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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.