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Finding the Fourth Proportional to 780.48, 1,168.98 and 490.50

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Solution

The fourth proportional to 780.48, 1,168.98 and 490.50 is: 734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.48 : 1,168.98 = 490.50 : x
  2. Step 2: Convert to fraction form
    780.48/1,168.98 = 490.50/x
  3. Step 3: Cross multiply
    780.48x = 1,168.98 × 490.50
  4. Step 4: Simplify right side
    780.48x = 573,384.69
  5. Step 5: Solve for x
    x = 573,384.69/780.48
  6. Step 6: Final answer
    x = 734.66

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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.