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Finding the Fourth Proportional to 1,490.32, 2,235.48 and 624.64

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Solution

The fourth proportional to 1,490.32, 2,235.48 and 624.64 is: 936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.32 : 2,235.48 = 624.64 : x
  2. Step 2: Convert to fraction form
    1,490.32/2,235.48 = 624.64/x
  3. Step 3: Cross multiply
    1,490.32x = 2,235.48 × 624.64
  4. Step 4: Simplify right side
    1,490.32x = 1,396,370.23
  5. Step 5: Solve for x
    x = 1,396,370.23/1,490.32
  6. Step 6: Final answer
    x = 936.96

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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.