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Finding the Fourth Proportional to 663.02, 991.65 and 542.06

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Solution

The fourth proportional to 663.02, 991.65 and 542.06 is: 810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.02 : 991.65 = 542.06 : x
  2. Step 2: Convert to fraction form
    663.02/991.65 = 542.06/x
  3. Step 3: Cross multiply
    663.02x = 991.65 × 542.06
  4. Step 4: Simplify right side
    663.02x = 537,533.80
  5. Step 5: Solve for x
    x = 537,533.80/663.02
  6. Step 6: Final answer
    x = 810.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.