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Finding the Fourth Proportional to 691.24, 1,036.88 and 419.28

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Solution

The fourth proportional to 691.24, 1,036.88 and 419.28 is: 628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.24 : 1,036.88 = 419.28 : x
  2. Step 2: Convert to fraction form
    691.24/1,036.88 = 419.28/x
  3. Step 3: Cross multiply
    691.24x = 1,036.88 × 419.28
  4. Step 4: Simplify right side
    691.24x = 434,743.05
  5. Step 5: Solve for x
    x = 434,743.05/691.24
  6. Step 6: Final answer
    x = 628.93

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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.