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Finding the Fourth Proportional to 587.14, 876.12 and 535.39

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Solution

The fourth proportional to 587.14, 876.12 and 535.39 is: 798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.14 : 876.12 = 535.39 : x
  2. Step 2: Convert to fraction form
    587.14/876.12 = 535.39/x
  3. Step 3: Cross multiply
    587.14x = 876.12 × 535.39
  4. Step 4: Simplify right side
    587.14x = 469,065.89
  5. Step 5: Solve for x
    x = 469,065.89/587.14
  6. Step 6: Final answer
    x = 798.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.