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Finding the Fourth Proportional to 777.48, 1,164.87 and 411.90

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Solution

The fourth proportional to 777.48, 1,164.87 and 411.90 is: 617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.48 : 1,164.87 = 411.90 : x
  2. Step 2: Convert to fraction form
    777.48/1,164.87 = 411.90/x
  3. Step 3: Cross multiply
    777.48x = 1,164.87 × 411.90
  4. Step 4: Simplify right side
    777.48x = 479,809.95
  5. Step 5: Solve for x
    x = 479,809.95/777.48
  6. Step 6: Final answer
    x = 617.13

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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.