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Finding the Fourth Proportional to 806.37, 1,210.64 and 477.92

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Solution

The fourth proportional to 806.37, 1,210.64 and 477.92 is: 717.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.37 : 1,210.64 = 477.92 : x
  2. Step 2: Convert to fraction form
    806.37/1,210.64 = 477.92/x
  3. Step 3: Cross multiply
    806.37x = 1,210.64 × 477.92
  4. Step 4: Simplify right side
    806.37x = 578,589.07
  5. Step 5: Solve for x
    x = 578,589.07/806.37
  6. Step 6: Final answer
    x = 717.52

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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.