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Finding the Fourth Proportional to 624.95, 862.47 and 345.17

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Solution

The fourth proportional to 624.95, 862.47 and 345.17 is: 476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.95 : 862.47 = 345.17 : x
  2. Step 2: Convert to fraction form
    624.95/862.47 = 345.17/x
  3. Step 3: Cross multiply
    624.95x = 862.47 × 345.17
  4. Step 4: Simplify right side
    624.95x = 297,698.77
  5. Step 5: Solve for x
    x = 297,698.77/624.95
  6. Step 6: Final answer
    x = 476.36

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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.