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Finding the Fourth Proportional to 608.42, 907.88 and 542.97

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Solution

The fourth proportional to 608.42, 907.88 and 542.97 is: 810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.42 : 907.88 = 542.97 : x
  2. Step 2: Convert to fraction form
    608.42/907.88 = 542.97/x
  3. Step 3: Cross multiply
    608.42x = 907.88 × 542.97
  4. Step 4: Simplify right side
    608.42x = 492,948.89
  5. Step 5: Solve for x
    x = 492,948.89/608.42
  6. Step 6: Final answer
    x = 810.22

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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.