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Finding the Fourth Proportional to 1,557.86, 2,337.81 and 901.00

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Solution

The fourth proportional to 1,557.86, 2,337.81 and 901.00 is: 1,352.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.86 : 2,337.81 = 901.00 : x
  2. Step 2: Convert to fraction form
    1,557.86/2,337.81 = 901.00/x
  3. Step 3: Cross multiply
    1,557.86x = 2,337.81 × 901.00
  4. Step 4: Simplify right side
    1,557.86x = 2,106,364.85
  5. Step 5: Solve for x
    x = 2,106,364.85/1,557.86
  6. Step 6: Final answer
    x = 1,352.09

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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.