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Finding the Fourth Proportional to 1,019.62, 1,529.70 and 624.74

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Solution

The fourth proportional to 1,019.62, 1,529.70 and 624.74 is: 937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.62 : 1,529.70 = 624.74 : x
  2. Step 2: Convert to fraction form
    1,019.62/1,529.70 = 624.74/x
  3. Step 3: Cross multiply
    1,019.62x = 1,529.70 × 624.74
  4. Step 4: Simplify right side
    1,019.62x = 955,664.78
  5. Step 5: Solve for x
    x = 955,664.78/1,019.62
  6. Step 6: Final answer
    x = 937.28

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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.