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Finding the Fourth Proportional to 773.02, 1,159.72 and 407.70

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Solution

The fourth proportional to 773.02, 1,159.72 and 407.70 is: 611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.02 : 1,159.72 = 407.70 : x
  2. Step 2: Convert to fraction form
    773.02/1,159.72 = 407.70/x
  3. Step 3: Cross multiply
    773.02x = 1,159.72 × 407.70
  4. Step 4: Simplify right side
    773.02x = 472,817.84
  5. Step 5: Solve for x
    x = 472,817.84/773.02
  6. Step 6: Final answer
    x = 611.65

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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.