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Finding the Fourth Proportional to 652.76, 900.80 and 376.76

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Solution

The fourth proportional to 652.76, 900.80 and 376.76 is: 519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.76 : 900.80 = 376.76 : x
  2. Step 2: Convert to fraction form
    652.76/900.80 = 376.76/x
  3. Step 3: Cross multiply
    652.76x = 900.80 × 376.76
  4. Step 4: Simplify right side
    652.76x = 339,385.41
  5. Step 5: Solve for x
    x = 339,385.41/652.76
  6. Step 6: Final answer
    x = 519.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.