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Finding the Fourth Proportional to 740.22, 1,021.59 and 615.66

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Solution

The fourth proportional to 740.22, 1,021.59 and 615.66 is: 849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.22 : 1,021.59 = 615.66 : x
  2. Step 2: Convert to fraction form
    740.22/1,021.59 = 615.66/x
  3. Step 3: Cross multiply
    740.22x = 1,021.59 × 615.66
  4. Step 4: Simplify right side
    740.22x = 628,952.10
  5. Step 5: Solve for x
    x = 628,952.10/740.22
  6. Step 6: Final answer
    x = 849.68

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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.