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Finding the Fourth Proportional to 1,557.73, 2,337.05 and 909.01

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Solution

The fourth proportional to 1,557.73, 2,337.05 and 909.01 is: 1,363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.73 : 2,337.05 = 909.01 : x
  2. Step 2: Convert to fraction form
    1,557.73/2,337.05 = 909.01/x
  3. Step 3: Cross multiply
    1,557.73x = 2,337.05 × 909.01
  4. Step 4: Simplify right side
    1,557.73x = 2,124,401.82
  5. Step 5: Solve for x
    x = 2,124,401.82/1,557.73
  6. Step 6: Final answer
    x = 1,363.78

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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.