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Finding the Fourth Proportional to 990.89, 1,367.45 and 542.80

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Solution

The fourth proportional to 990.89, 1,367.45 and 542.80 is: 749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.89 : 1,367.45 = 542.80 : x
  2. Step 2: Convert to fraction form
    990.89/1,367.45 = 542.80/x
  3. Step 3: Cross multiply
    990.89x = 1,367.45 × 542.80
  4. Step 4: Simplify right side
    990.89x = 742,250.50
  5. Step 5: Solve for x
    x = 742,250.50/990.89
  6. Step 6: Final answer
    x = 749.08

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1.5x scale

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.