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Finding the Fourth Proportional to 772.61, 1,159.60 and 407.65

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Solution

The fourth proportional to 772.61, 1,159.60 and 407.65 is: 611.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.61 : 1,159.60 = 407.65 : x
  2. Step 2: Convert to fraction form
    772.61/1,159.60 = 407.65/x
  3. Step 3: Cross multiply
    772.61x = 1,159.60 × 407.65
  4. Step 4: Simplify right side
    772.61x = 472,707.02
  5. Step 5: Solve for x
    x = 472,707.02/772.61
  6. Step 6: Final answer
    x = 611.83

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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.