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Finding the Fourth Proportional to 779.51, 1,167.44 and 562.02

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Solution

The fourth proportional to 779.51, 1,167.44 and 562.02 is: 841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.51 : 1,167.44 = 562.02 : x
  2. Step 2: Convert to fraction form
    779.51/1,167.44 = 562.02/x
  3. Step 3: Cross multiply
    779.51x = 1,167.44 × 562.02
  4. Step 4: Simplify right side
    779.51x = 656,121.82
  5. Step 5: Solve for x
    x = 656,121.82/779.51
  6. Step 6: Final answer
    x = 841.72

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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.