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Finding the Fourth Proportional to 1,129.60, 1,693.81 and 399.07

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Solution

The fourth proportional to 1,129.60, 1,693.81 and 399.07 is: 598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.60 : 1,693.81 = 399.07 : x
  2. Step 2: Convert to fraction form
    1,129.60/1,693.81 = 399.07/x
  3. Step 3: Cross multiply
    1,129.60x = 1,693.81 × 399.07
  4. Step 4: Simplify right side
    1,129.60x = 675,948.76
  5. Step 5: Solve for x
    x = 675,948.76/1,129.60
  6. Step 6: Final answer
    x = 598.40

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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.