Home / 1,531.86-2,296.30-607.11

Finding the Fourth Proportional to 1,531.86, 2,296.30 and 607.11

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Solution

The fourth proportional to 1,531.86, 2,296.30 and 607.11 is: 910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.86 : 2,296.30 = 607.11 : x
  2. Step 2: Convert to fraction form
    1,531.86/2,296.30 = 607.11/x
  3. Step 3: Cross multiply
    1,531.86x = 2,296.30 × 607.11
  4. Step 4: Simplify right side
    1,531.86x = 1,394,106.69
  5. Step 5: Solve for x
    x = 1,394,106.69/1,531.86
  6. Step 6: Final answer
    x = 910.07

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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.