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Finding the Fourth Proportional to 542.54, 810.29 and 469.64

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Solution

The fourth proportional to 542.54, 810.29 and 469.64 is: 701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.54 : 810.29 = 469.64 : x
  2. Step 2: Convert to fraction form
    542.54/810.29 = 469.64/x
  3. Step 3: Cross multiply
    542.54x = 810.29 × 469.64
  4. Step 4: Simplify right side
    542.54x = 380,539.96
  5. Step 5: Solve for x
    x = 380,539.96/542.54
  6. Step 6: Final answer
    x = 701.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.