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Finding the Fourth Proportional to 987.77, 1,480.47 and 459.96

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Solution

The fourth proportional to 987.77, 1,480.47 and 459.96 is: 689.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.77 : 1,480.47 = 459.96 : x
  2. Step 2: Convert to fraction form
    987.77/1,480.47 = 459.96/x
  3. Step 3: Cross multiply
    987.77x = 1,480.47 × 459.96
  4. Step 4: Simplify right side
    987.77x = 680,956.98
  5. Step 5: Solve for x
    x = 680,956.98/987.77
  6. Step 6: Final answer
    x = 689.39

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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.