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Finding the Fourth Proportional to 617.96, 921.43 and 610.40

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Solution

The fourth proportional to 617.96, 921.43 and 610.40 is: 910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.96 : 921.43 = 610.40 : x
  2. Step 2: Convert to fraction form
    617.96/921.43 = 610.40/x
  3. Step 3: Cross multiply
    617.96x = 921.43 × 610.40
  4. Step 4: Simplify right side
    617.96x = 562,440.87
  5. Step 5: Solve for x
    x = 562,440.87/617.96
  6. Step 6: Final answer
    x = 910.16

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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.