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Finding the Fourth Proportional to 988.23, 1,362.78 and 595.20

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Solution

The fourth proportional to 988.23, 1,362.78 and 595.20 is: 820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.23 : 1,362.78 = 595.20 : x
  2. Step 2: Convert to fraction form
    988.23/1,362.78 = 595.20/x
  3. Step 3: Cross multiply
    988.23x = 1,362.78 × 595.20
  4. Step 4: Simplify right side
    988.23x = 811,126.66
  5. Step 5: Solve for x
    x = 811,126.66/988.23
  6. Step 6: Final answer
    x = 820.79

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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.