Home / 1,014.30-1,398.14-929.57

Finding the Fourth Proportional to 1,014.30, 1,398.14 and 929.57

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Solution

The fourth proportional to 1,014.30, 1,398.14 and 929.57 is: 1,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.30 : 1,398.14 = 929.57 : x
  2. Step 2: Convert to fraction form
    1,014.30/1,398.14 = 929.57/x
  3. Step 3: Cross multiply
    1,014.30x = 1,398.14 × 929.57
  4. Step 4: Simplify right side
    1,014.30x = 1,299,657.36
  5. Step 5: Solve for x
    x = 1,299,657.36/1,014.30
  6. Step 6: Final answer
    x = 1,281.33

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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.