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Finding the Fourth Proportional to 635.06, 947.40 and 617.42

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Solution

The fourth proportional to 635.06, 947.40 and 617.42 is: 921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.06 : 947.40 = 617.42 : x
  2. Step 2: Convert to fraction form
    635.06/947.40 = 617.42/x
  3. Step 3: Cross multiply
    635.06x = 947.40 × 617.42
  4. Step 4: Simplify right side
    635.06x = 584,943.71
  5. Step 5: Solve for x
    x = 584,943.71/635.06
  6. Step 6: Final answer
    x = 921.08

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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.