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Finding the Fourth Proportional to 542.36, 810.08 and 469.46

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Solution

The fourth proportional to 542.36, 810.08 and 469.46 is: 701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.36 : 810.08 = 469.46 : x
  2. Step 2: Convert to fraction form
    542.36/810.08 = 469.46/x
  3. Step 3: Cross multiply
    542.36x = 810.08 × 469.46
  4. Step 4: Simplify right side
    542.36x = 380,300.16
  5. Step 5: Solve for x
    x = 380,300.16/542.36
  6. Step 6: Final answer
    x = 701.20

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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.