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Finding the Fourth Proportional to 663.18, 912.51 and 646.22

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Solution

The fourth proportional to 663.18, 912.51 and 646.22 is: 889.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.18 : 912.51 = 646.22 : x
  2. Step 2: Convert to fraction form
    663.18/912.51 = 646.22/x
  3. Step 3: Cross multiply
    663.18x = 912.51 × 646.22
  4. Step 4: Simplify right side
    663.18x = 589,682.21
  5. Step 5: Solve for x
    x = 589,682.21/663.18
  6. Step 6: Final answer
    x = 889.17

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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.