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Finding the Fourth Proportional to 724.98, 1,087.74 and 417.18

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Solution

The fourth proportional to 724.98, 1,087.74 and 417.18 is: 625.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.98 : 1,087.74 = 417.18 : x
  2. Step 2: Convert to fraction form
    724.98/1,087.74 = 417.18/x
  3. Step 3: Cross multiply
    724.98x = 1,087.74 × 417.18
  4. Step 4: Simplify right side
    724.98x = 453,783.37
  5. Step 5: Solve for x
    x = 453,783.37/724.98
  6. Step 6: Final answer
    x = 625.93

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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.