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Finding the Fourth Proportional to 894.13, 1,340.62 and 432.02

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Solution

The fourth proportional to 894.13, 1,340.62 and 432.02 is: 647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.13 : 1,340.62 = 432.02 : x
  2. Step 2: Convert to fraction form
    894.13/1,340.62 = 432.02/x
  3. Step 3: Cross multiply
    894.13x = 1,340.62 × 432.02
  4. Step 4: Simplify right side
    894.13x = 579,174.65
  5. Step 5: Solve for x
    x = 579,174.65/894.13
  6. Step 6: Final answer
    x = 647.75

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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.