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Finding the Fourth Proportional to 542.93, 812.77 and 380.52

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Solution

The fourth proportional to 542.93, 812.77 and 380.52 is: 569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.93 : 812.77 = 380.52 : x
  2. Step 2: Convert to fraction form
    542.93/812.77 = 380.52/x
  3. Step 3: Cross multiply
    542.93x = 812.77 × 380.52
  4. Step 4: Simplify right side
    542.93x = 309,274.29
  5. Step 5: Solve for x
    x = 309,274.29/542.93
  6. Step 6: Final answer
    x = 569.64

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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.