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Finding the Fourth Proportional to 1,128.55, 1,693.50 and 398.74

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Solution

The fourth proportional to 1,128.55, 1,693.50 and 398.74 is: 598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.55 : 1,693.50 = 398.74 : x
  2. Step 2: Convert to fraction form
    1,128.55/1,693.50 = 398.74/x
  3. Step 3: Cross multiply
    1,128.55x = 1,693.50 × 398.74
  4. Step 4: Simplify right side
    1,128.55x = 675,266.19
  5. Step 5: Solve for x
    x = 675,266.19/1,128.55
  6. Step 6: Final answer
    x = 598.35

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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.