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Finding the Fourth Proportional to 652.25, 976.65 and 457.49

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Solution

The fourth proportional to 652.25, 976.65 and 457.49 is: 685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.25 : 976.65 = 457.49 : x
  2. Step 2: Convert to fraction form
    652.25/976.65 = 457.49/x
  3. Step 3: Cross multiply
    652.25x = 976.65 × 457.49
  4. Step 4: Simplify right side
    652.25x = 446,807.61
  5. Step 5: Solve for x
    x = 446,807.61/652.25
  6. Step 6: Final answer
    x = 685.03

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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.