Home / 1,019.90-1,535.40-929.18

Finding the Fourth Proportional to 1,019.90, 1,535.40 and 929.18

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Solution

The fourth proportional to 1,019.90, 1,535.40 and 929.18 is: 1,398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.90 : 1,535.40 = 929.18 : x
  2. Step 2: Convert to fraction form
    1,019.90/1,535.40 = 929.18/x
  3. Step 3: Cross multiply
    1,019.90x = 1,535.40 × 929.18
  4. Step 4: Simplify right side
    1,019.90x = 1,426,662.97
  5. Step 5: Solve for x
    x = 1,426,662.97/1,019.90
  6. Step 6: Final answer
    x = 1,398.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.