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Finding the Fourth Proportional to 1,557.16, 2,336.22 and 909.16

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Solution

The fourth proportional to 1,557.16, 2,336.22 and 909.16 is: 1,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.16 : 2,336.22 = 909.16 : x
  2. Step 2: Convert to fraction form
    1,557.16/2,336.22 = 909.16/x
  3. Step 3: Cross multiply
    1,557.16x = 2,336.22 × 909.16
  4. Step 4: Simplify right side
    1,557.16x = 2,123,997.78
  5. Step 5: Solve for x
    x = 2,123,997.78/1,557.16
  6. Step 6: Final answer
    x = 1,364.02

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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.