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Finding the Fourth Proportional to 663.66, 913.95 and 661.50

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Solution

The fourth proportional to 663.66, 913.95 and 661.50 is: 910.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.66 : 913.95 = 661.50 : x
  2. Step 2: Convert to fraction form
    663.66/913.95 = 661.50/x
  3. Step 3: Cross multiply
    663.66x = 913.95 × 661.50
  4. Step 4: Simplify right side
    663.66x = 604,577.93
  5. Step 5: Solve for x
    x = 604,577.93/663.66
  6. Step 6: Final answer
    x = 910.98

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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.