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Finding the Fourth Proportional to 1,071.61, 1,607.85 and 523.78

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Solution

The fourth proportional to 1,071.61, 1,607.85 and 523.78 is: 785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.61 : 1,607.85 = 523.78 : x
  2. Step 2: Convert to fraction form
    1,071.61/1,607.85 = 523.78/x
  3. Step 3: Cross multiply
    1,071.61x = 1,607.85 × 523.78
  4. Step 4: Simplify right side
    1,071.61x = 842,155.65
  5. Step 5: Solve for x
    x = 842,155.65/1,071.61
  6. Step 6: Final answer
    x = 785.88

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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.