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Finding the Fourth Proportional to 988.19, 1,363.80 and 595.54

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Solution

The fourth proportional to 988.19, 1,363.80 and 595.54 is: 821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.19 : 1,363.80 = 595.54 : x
  2. Step 2: Convert to fraction form
    988.19/1,363.80 = 595.54/x
  3. Step 3: Cross multiply
    988.19x = 1,363.80 × 595.54
  4. Step 4: Simplify right side
    988.19x = 812,197.45
  5. Step 5: Solve for x
    x = 812,197.45/988.19
  6. Step 6: Final answer
    x = 821.90

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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.