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Finding the Fourth Proportional to 650.72, 898.72 and 505.10

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Solution

The fourth proportional to 650.72, 898.72 and 505.10 is: 697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.72 : 898.72 = 505.10 : x
  2. Step 2: Convert to fraction form
    650.72/898.72 = 505.10/x
  3. Step 3: Cross multiply
    650.72x = 898.72 × 505.10
  4. Step 4: Simplify right side
    650.72x = 453,943.47
  5. Step 5: Solve for x
    x = 453,943.47/650.72
  6. Step 6: Final answer
    x = 697.60

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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.