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Finding the Fourth Proportional to 988.09, 1,363.20 and 568.15

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Solution

The fourth proportional to 988.09, 1,363.20 and 568.15 is: 783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.09 : 1,363.20 = 568.15 : x
  2. Step 2: Convert to fraction form
    988.09/1,363.20 = 568.15/x
  3. Step 3: Cross multiply
    988.09x = 1,363.20 × 568.15
  4. Step 4: Simplify right side
    988.09x = 774,502.08
  5. Step 5: Solve for x
    x = 774,502.08/988.09
  6. Step 6: Final answer
    x = 783.84

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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.