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Finding the Fourth Proportional to 617.84, 921.70 and 540.08

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Solution

The fourth proportional to 617.84, 921.70 and 540.08 is: 805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.84 : 921.70 = 540.08 : x
  2. Step 2: Convert to fraction form
    617.84/921.70 = 540.08/x
  3. Step 3: Cross multiply
    617.84x = 921.70 × 540.08
  4. Step 4: Simplify right side
    617.84x = 497,791.74
  5. Step 5: Solve for x
    x = 497,791.74/617.84
  6. Step 6: Final answer
    x = 805.70

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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.