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Finding the Fourth Proportional to 1,035.70, 1,552.74 and 938.50

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Solution

The fourth proportional to 1,035.70, 1,552.74 and 938.50 is: 1,407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.70 : 1,552.74 = 938.50 : x
  2. Step 2: Convert to fraction form
    1,035.70/1,552.74 = 938.50/x
  3. Step 3: Cross multiply
    1,035.70x = 1,552.74 × 938.50
  4. Step 4: Simplify right side
    1,035.70x = 1,457,246.49
  5. Step 5: Solve for x
    x = 1,457,246.49/1,035.70
  6. Step 6: Final answer
    x = 1,407.02

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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.