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Finding the Fourth Proportional to 740.11, 1,021.70 and 527.56

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Solution

The fourth proportional to 740.11, 1,021.70 and 527.56 is: 728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.11 : 1,021.70 = 527.56 : x
  2. Step 2: Convert to fraction form
    740.11/1,021.70 = 527.56/x
  3. Step 3: Cross multiply
    740.11x = 1,021.70 × 527.56
  4. Step 4: Simplify right side
    740.11x = 539,008.05
  5. Step 5: Solve for x
    x = 539,008.05/740.11
  6. Step 6: Final answer
    x = 728.28

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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.