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Finding the Fourth Proportional to 650.53, 971.64 and 588.74

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Solution

The fourth proportional to 650.53, 971.64 and 588.74 is: 879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.53 : 971.64 = 588.74 : x
  2. Step 2: Convert to fraction form
    650.53/971.64 = 588.74/x
  3. Step 3: Cross multiply
    650.53x = 971.64 × 588.74
  4. Step 4: Simplify right side
    650.53x = 572,039.30
  5. Step 5: Solve for x
    x = 572,039.30/650.53
  6. Step 6: Final answer
    x = 879.34

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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.