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Finding the Fourth Proportional to 542.65, 810.50 and 434.11

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Solution

The fourth proportional to 542.65, 810.50 and 434.11 is: 648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.65 : 810.50 = 434.11 : x
  2. Step 2: Convert to fraction form
    542.65/810.50 = 434.11/x
  3. Step 3: Cross multiply
    542.65x = 810.50 × 434.11
  4. Step 4: Simplify right side
    542.65x = 351,846.16
  5. Step 5: Solve for x
    x = 351,846.16/542.65
  6. Step 6: Final answer
    x = 648.39

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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.