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Finding the Fourth Proportional to 854.84, 1,179.70 and 501.02

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Solution

The fourth proportional to 854.84, 1,179.70 and 501.02 is: 691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.84 : 1,179.70 = 501.02 : x
  2. Step 2: Convert to fraction form
    854.84/1,179.70 = 501.02/x
  3. Step 3: Cross multiply
    854.84x = 1,179.70 × 501.02
  4. Step 4: Simplify right side
    854.84x = 591,044.89
  5. Step 5: Solve for x
    x = 591,044.89/854.84
  6. Step 6: Final answer
    x = 691.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.