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Finding the Fourth Proportional to 663.02, 914.95 and 368.28

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Solution

The fourth proportional to 663.02, 914.95 and 368.28 is: 508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.02 : 914.95 = 368.28 : x
  2. Step 2: Convert to fraction form
    663.02/914.95 = 368.28/x
  3. Step 3: Cross multiply
    663.02x = 914.95 × 368.28
  4. Step 4: Simplify right side
    663.02x = 336,955.94
  5. Step 5: Solve for x
    x = 336,955.94/663.02
  6. Step 6: Final answer
    x = 508.21

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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.