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Finding the Fourth Proportional to 652.89, 975.03 and 617.36

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Solution

The fourth proportional to 652.89, 975.03 and 617.36 is: 921.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.89 : 975.03 = 617.36 : x
  2. Step 2: Convert to fraction form
    652.89/975.03 = 617.36/x
  3. Step 3: Cross multiply
    652.89x = 975.03 × 617.36
  4. Step 4: Simplify right side
    652.89x = 601,939.65
  5. Step 5: Solve for x
    x = 601,939.65/652.89
  6. Step 6: Final answer
    x = 921.96

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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.