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Finding the Fourth Proportional to 921.92, 1,376.76 and 810.14

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Solution

The fourth proportional to 921.92, 1,376.76 and 810.14 is: 1,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.92 : 1,376.76 = 810.14 : x
  2. Step 2: Convert to fraction form
    921.92/1,376.76 = 810.14/x
  3. Step 3: Cross multiply
    921.92x = 1,376.76 × 810.14
  4. Step 4: Simplify right side
    921.92x = 1,115,364.50
  5. Step 5: Solve for x
    x = 1,115,364.50/921.92
  6. Step 6: Final answer
    x = 1,209.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.