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Finding the Fourth Proportional to 1,179.42, 1,767.91 and 530.61

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Solution

The fourth proportional to 1,179.42, 1,767.91 and 530.61 is: 795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.42 : 1,767.91 = 530.61 : x
  2. Step 2: Convert to fraction form
    1,179.42/1,767.91 = 530.61/x
  3. Step 3: Cross multiply
    1,179.42x = 1,767.91 × 530.61
  4. Step 4: Simplify right side
    1,179.42x = 938,070.73
  5. Step 5: Solve for x
    x = 938,070.73/1,179.42
  6. Step 6: Final answer
    x = 795.37

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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.