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Finding the Fourth Proportional to 650.72, 972.04 and 585.62

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Solution

The fourth proportional to 650.72, 972.04 and 585.62 is: 874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.72 : 972.04 = 585.62 : x
  2. Step 2: Convert to fraction form
    650.72/972.04 = 585.62/x
  3. Step 3: Cross multiply
    650.72x = 972.04 × 585.62
  4. Step 4: Simplify right side
    650.72x = 569,246.06
  5. Step 5: Solve for x
    x = 569,246.06/650.72
  6. Step 6: Final answer
    x = 874.79

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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.