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Finding the Fourth Proportional to 987.17, 1,479.15 and 465.93

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Solution

The fourth proportional to 987.17, 1,479.15 and 465.93 is: 698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.17 : 1,479.15 = 465.93 : x
  2. Step 2: Convert to fraction form
    987.17/1,479.15 = 465.93/x
  3. Step 3: Cross multiply
    987.17x = 1,479.15 × 465.93
  4. Step 4: Simplify right side
    987.17x = 689,180.36
  5. Step 5: Solve for x
    x = 689,180.36/987.17
  6. Step 6: Final answer
    x = 698.14

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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.