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Finding the Fourth Proportional to 652.04, 976.65 and 407.84

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Solution

The fourth proportional to 652.04, 976.65 and 407.84 is: 610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.04 : 976.65 = 407.84 : x
  2. Step 2: Convert to fraction form
    652.04/976.65 = 407.84/x
  3. Step 3: Cross multiply
    652.04x = 976.65 × 407.84
  4. Step 4: Simplify right side
    652.04x = 398,316.94
  5. Step 5: Solve for x
    x = 398,316.94/652.04
  6. Step 6: Final answer
    x = 610.88

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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.