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Finding the Fourth Proportional to 652.41, 976.28 and 566.75

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Solution

The fourth proportional to 652.41, 976.28 and 566.75 is: 848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.41 : 976.28 = 566.75 : x
  2. Step 2: Convert to fraction form
    652.41/976.28 = 566.75/x
  3. Step 3: Cross multiply
    652.41x = 976.28 × 566.75
  4. Step 4: Simplify right side
    652.41x = 553,298.97
  5. Step 5: Solve for x
    x = 553,298.97/652.41
  6. Step 6: Final answer
    x = 848.08

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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.