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Finding the Fourth Proportional to 614.50, 846.33 and 571.45

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Solution

The fourth proportional to 614.50, 846.33 and 571.45 is: 787.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.50 : 846.33 = 571.45 : x
  2. Step 2: Convert to fraction form
    614.50/846.33 = 571.45/x
  3. Step 3: Cross multiply
    614.50x = 846.33 × 571.45
  4. Step 4: Simplify right side
    614.50x = 483,635.28
  5. Step 5: Solve for x
    x = 483,635.28/614.50
  6. Step 6: Final answer
    x = 787.04

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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.