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Finding the Fourth Proportional to 854.06, 1,178.62 and 499.93

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Solution

The fourth proportional to 854.06, 1,178.62 and 499.93 is: 689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.06 : 1,178.62 = 499.93 : x
  2. Step 2: Convert to fraction form
    854.06/1,178.62 = 499.93/x
  3. Step 3: Cross multiply
    854.06x = 1,178.62 × 499.93
  4. Step 4: Simplify right side
    854.06x = 589,223.30
  5. Step 5: Solve for x
    x = 589,223.30/854.06
  6. Step 6: Final answer
    x = 689.91

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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.