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Finding the Fourth Proportional to 614.21, 921.38 and 578.57

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Solution

The fourth proportional to 614.21, 921.38 and 578.57 is: 867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.21 : 921.38 = 578.57 : x
  2. Step 2: Convert to fraction form
    614.21/921.38 = 578.57/x
  3. Step 3: Cross multiply
    614.21x = 921.38 × 578.57
  4. Step 4: Simplify right side
    614.21x = 533,075.33
  5. Step 5: Solve for x
    x = 533,075.33/614.21
  6. Step 6: Final answer
    x = 867.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.