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Finding the Fourth Proportional to 772.26, 1,064.42 and 615.50

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Solution

The fourth proportional to 772.26, 1,064.42 and 615.50 is: 848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.26 : 1,064.42 = 615.50 : x
  2. Step 2: Convert to fraction form
    772.26/1,064.42 = 615.50/x
  3. Step 3: Cross multiply
    772.26x = 1,064.42 × 615.50
  4. Step 4: Simplify right side
    772.26x = 655,150.51
  5. Step 5: Solve for x
    x = 655,150.51/772.26
  6. Step 6: Final answer
    x = 848.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.