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Finding the Fourth Proportional to 651.67, 898.12 and 514.81

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Solution

The fourth proportional to 651.67, 898.12 and 514.81 is: 709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.67 : 898.12 = 514.81 : x
  2. Step 2: Convert to fraction form
    651.67/898.12 = 514.81/x
  3. Step 3: Cross multiply
    651.67x = 898.12 × 514.81
  4. Step 4: Simplify right side
    651.67x = 462,362.92
  5. Step 5: Solve for x
    x = 462,362.92/651.67
  6. Step 6: Final answer
    x = 709.50

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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.