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Finding the Fourth Proportional to 587.74, 878.08 and 520.01

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Solution

The fourth proportional to 587.74, 878.08 and 520.01 is: 776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.74 : 878.08 = 520.01 : x
  2. Step 2: Convert to fraction form
    587.74/878.08 = 520.01/x
  3. Step 3: Cross multiply
    587.74x = 878.08 × 520.01
  4. Step 4: Simplify right side
    587.74x = 456,610.38
  5. Step 5: Solve for x
    x = 456,610.38/587.74
  6. Step 6: Final answer
    x = 776.89

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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.