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Finding the Fourth Proportional to 601.74, 900.78 and 581.69

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Solution

The fourth proportional to 601.74, 900.78 and 581.69 is: 870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.74 : 900.78 = 581.69 : x
  2. Step 2: Convert to fraction form
    601.74/900.78 = 581.69/x
  3. Step 3: Cross multiply
    601.74x = 900.78 × 581.69
  4. Step 4: Simplify right side
    601.74x = 523,974.72
  5. Step 5: Solve for x
    x = 523,974.72/601.74
  6. Step 6: Final answer
    x = 870.77

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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.