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Finding the Fourth Proportional to 918.76, 1,376.38 and 508.10

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Solution

The fourth proportional to 918.76, 1,376.38 and 508.10 is: 761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.76 : 1,376.38 = 508.10 : x
  2. Step 2: Convert to fraction form
    918.76/1,376.38 = 508.10/x
  3. Step 3: Cross multiply
    918.76x = 1,376.38 × 508.10
  4. Step 4: Simplify right side
    918.76x = 699,338.68
  5. Step 5: Solve for x
    x = 699,338.68/918.76
  6. Step 6: Final answer
    x = 761.18

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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.