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Finding the Fourth Proportional to 602.92, 907.40 and 543.28

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Solution

The fourth proportional to 602.92, 907.40 and 543.28 is: 817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.92 : 907.40 = 543.28 : x
  2. Step 2: Convert to fraction form
    602.92/907.40 = 543.28/x
  3. Step 3: Cross multiply
    602.92x = 907.40 × 543.28
  4. Step 4: Simplify right side
    602.92x = 492,972.27
  5. Step 5: Solve for x
    x = 492,972.27/602.92
  6. Step 6: Final answer
    x = 817.64

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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.