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Finding the Fourth Proportional to 660.95, 914.45 and 649.31

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Solution

The fourth proportional to 660.95, 914.45 and 649.31 is: 898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.95 : 914.45 = 649.31 : x
  2. Step 2: Convert to fraction form
    660.95/914.45 = 649.31/x
  3. Step 3: Cross multiply
    660.95x = 914.45 × 649.31
  4. Step 4: Simplify right side
    660.95x = 593,753.71
  5. Step 5: Solve for x
    x = 593,753.71/660.95
  6. Step 6: Final answer
    x = 898.34

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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.