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Finding the Fourth Proportional to 618.31, 926.66 and 463.01

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Solution

The fourth proportional to 618.31, 926.66 and 463.01 is: 693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.31 : 926.66 = 463.01 : x
  2. Step 2: Convert to fraction form
    618.31/926.66 = 463.01/x
  3. Step 3: Cross multiply
    618.31x = 926.66 × 463.01
  4. Step 4: Simplify right side
    618.31x = 429,050.53
  5. Step 5: Solve for x
    x = 429,050.53/618.31
  6. Step 6: Final answer
    x = 693.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.