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Finding the Fourth Proportional to 804.47, 1,108.88 and 542.03

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Solution

The fourth proportional to 804.47, 1,108.88 and 542.03 is: 747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.47 : 1,108.88 = 542.03 : x
  2. Step 2: Convert to fraction form
    804.47/1,108.88 = 542.03/x
  3. Step 3: Cross multiply
    804.47x = 1,108.88 × 542.03
  4. Step 4: Simplify right side
    804.47x = 601,043.52
  5. Step 5: Solve for x
    x = 601,043.52/804.47
  6. Step 6: Final answer
    x = 747.13

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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.