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Finding the Fourth Proportional to 869.18, 1,301.93 and 407.31

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Solution

The fourth proportional to 869.18, 1,301.93 and 407.31 is: 610.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.18 : 1,301.93 = 407.31 : x
  2. Step 2: Convert to fraction form
    869.18/1,301.93 = 407.31/x
  3. Step 3: Cross multiply
    869.18x = 1,301.93 × 407.31
  4. Step 4: Simplify right side
    869.18x = 530,287.07
  5. Step 5: Solve for x
    x = 530,287.07/869.18
  6. Step 6: Final answer
    x = 610.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.