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Finding the Fourth Proportional to 542.93, 818.02 and 470.03

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Solution

The fourth proportional to 542.93, 818.02 and 470.03 is: 708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.93 : 818.02 = 470.03 : x
  2. Step 2: Convert to fraction form
    542.93/818.02 = 470.03/x
  3. Step 3: Cross multiply
    542.93x = 818.02 × 470.03
  4. Step 4: Simplify right side
    542.93x = 384,490.44
  5. Step 5: Solve for x
    x = 384,490.44/542.93
  6. Step 6: Final answer
    x = 708.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.