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Finding the Fourth Proportional to 790.11, 1,090.40 and 527.94

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Solution

The fourth proportional to 790.11, 1,090.40 and 527.94 is: 728.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.11 : 1,090.40 = 527.94 : x
  2. Step 2: Convert to fraction form
    790.11/1,090.40 = 527.94/x
  3. Step 3: Cross multiply
    790.11x = 1,090.40 × 527.94
  4. Step 4: Simplify right side
    790.11x = 575,663.14
  5. Step 5: Solve for x
    x = 575,663.14/790.11
  6. Step 6: Final answer
    x = 728.59

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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.