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Finding the Fourth Proportional to 1,217.65, 1,681.72 and 823.99

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Solution

The fourth proportional to 1,217.65, 1,681.72 and 823.99 is: 1,138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.65 : 1,681.72 = 823.99 : x
  2. Step 2: Convert to fraction form
    1,217.65/1,681.72 = 823.99/x
  3. Step 3: Cross multiply
    1,217.65x = 1,681.72 × 823.99
  4. Step 4: Simplify right side
    1,217.65x = 1,385,712.14
  5. Step 5: Solve for x
    x = 1,385,712.14/1,217.65
  6. Step 6: Final answer
    x = 1,138.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.