Home / 1,129.04-1,693.31-307.23

Finding the Fourth Proportional to 1,129.04, 1,693.31 and 307.23

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Solution

The fourth proportional to 1,129.04, 1,693.31 and 307.23 is: 460.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.04 : 1,693.31 = 307.23 : x
  2. Step 2: Convert to fraction form
    1,129.04/1,693.31 = 307.23/x
  3. Step 3: Cross multiply
    1,129.04x = 1,693.31 × 307.23
  4. Step 4: Simplify right side
    1,129.04x = 520,227.75
  5. Step 5: Solve for x
    x = 520,227.75/1,129.04
  6. Step 6: Final answer
    x = 460.77

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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.