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Finding the Fourth Proportional to 808.13, 1,210.24 and 460.41

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Solution

The fourth proportional to 808.13, 1,210.24 and 460.41 is: 689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.13 : 1,210.24 = 460.41 : x
  2. Step 2: Convert to fraction form
    808.13/1,210.24 = 460.41/x
  3. Step 3: Cross multiply
    808.13x = 1,210.24 × 460.41
  4. Step 4: Simplify right side
    808.13x = 557,198.25
  5. Step 5: Solve for x
    x = 557,198.25/808.13
  6. Step 6: Final answer
    x = 689.50

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1.5x scale

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.