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Finding the Fourth Proportional to 608.40, 907.38 and 543.60

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Solution

The fourth proportional to 608.40, 907.38 and 543.60 is: 810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.40 : 907.38 = 543.60 : x
  2. Step 2: Convert to fraction form
    608.40/907.38 = 543.60/x
  3. Step 3: Cross multiply
    608.40x = 907.38 × 543.60
  4. Step 4: Simplify right side
    608.40x = 493,251.77
  5. Step 5: Solve for x
    x = 493,251.77/608.40
  6. Step 6: Final answer
    x = 810.74

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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.