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Finding the Fourth Proportional to 910.57, 1,365.07 and 409.86

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Solution

The fourth proportional to 910.57, 1,365.07 and 409.86 is: 614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.57 : 1,365.07 = 409.86 : x
  2. Step 2: Convert to fraction form
    910.57/1,365.07 = 409.86/x
  3. Step 3: Cross multiply
    910.57x = 1,365.07 × 409.86
  4. Step 4: Simplify right side
    910.57x = 559,487.59
  5. Step 5: Solve for x
    x = 559,487.59/910.57
  6. Step 6: Final answer
    x = 614.44

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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.