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Finding the Fourth Proportional to 738.43, 1,019.04 and 561.55

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Solution

The fourth proportional to 738.43, 1,019.04 and 561.55 is: 774.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.43 : 1,019.04 = 561.55 : x
  2. Step 2: Convert to fraction form
    738.43/1,019.04 = 561.55/x
  3. Step 3: Cross multiply
    738.43x = 1,019.04 × 561.55
  4. Step 4: Simplify right side
    738.43x = 572,241.91
  5. Step 5: Solve for x
    x = 572,241.91/738.43
  6. Step 6: Final answer
    x = 774.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.