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Finding the Fourth Proportional to 651.91, 900.44 and 527.71

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Solution

The fourth proportional to 651.91, 900.44 and 527.71 is: 728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.91 : 900.44 = 527.71 : x
  2. Step 2: Convert to fraction form
    651.91/900.44 = 527.71/x
  3. Step 3: Cross multiply
    651.91x = 900.44 × 527.71
  4. Step 4: Simplify right side
    651.91x = 475,168.55
  5. Step 5: Solve for x
    x = 475,168.55/651.91
  6. Step 6: Final answer
    x = 728.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.