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Finding the Fourth Proportional to 740.04, 1,020.71 and 641.63

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Solution

The fourth proportional to 740.04, 1,020.71 and 641.63 is: 884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.04 : 1,020.71 = 641.63 : x
  2. Step 2: Convert to fraction form
    740.04/1,020.71 = 641.63/x
  3. Step 3: Cross multiply
    740.04x = 1,020.71 × 641.63
  4. Step 4: Simplify right side
    740.04x = 654,909.85
  5. Step 5: Solve for x
    x = 654,909.85/740.04
  6. Step 6: Final answer
    x = 884.97

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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.