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Finding the Fourth Proportional to 910.78, 1,365.69 and 397.50

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Solution

The fourth proportional to 910.78, 1,365.69 and 397.50 is: 596.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.78 : 1,365.69 = 397.50 : x
  2. Step 2: Convert to fraction form
    910.78/1,365.69 = 397.50/x
  3. Step 3: Cross multiply
    910.78x = 1,365.69 × 397.50
  4. Step 4: Simplify right side
    910.78x = 542,861.78
  5. Step 5: Solve for x
    x = 542,861.78/910.78
  6. Step 6: Final answer
    x = 596.04

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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.