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Finding the Fourth Proportional to 806.56, 1,210.75 and 478.24

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Solution

The fourth proportional to 806.56, 1,210.75 and 478.24 is: 717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.56 : 1,210.75 = 478.24 : x
  2. Step 2: Convert to fraction form
    806.56/1,210.75 = 478.24/x
  3. Step 3: Cross multiply
    806.56x = 1,210.75 × 478.24
  4. Step 4: Simplify right side
    806.56x = 579,024.86
  5. Step 5: Solve for x
    x = 579,024.86/806.56
  6. Step 6: Final answer
    x = 717.90

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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.