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Finding the Fourth Proportional to 663.97, 916.35 and 384.20

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Solution

The fourth proportional to 663.97, 916.35 and 384.20 is: 530.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.97 : 916.35 = 384.20 : x
  2. Step 2: Convert to fraction form
    663.97/916.35 = 384.20/x
  3. Step 3: Cross multiply
    663.97x = 916.35 × 384.20
  4. Step 4: Simplify right side
    663.97x = 352,065.40
  5. Step 5: Solve for x
    x = 352,065.40/663.97
  6. Step 6: Final answer
    x = 530.24

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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.