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Finding the Fourth Proportional to 805.16, 1,205.91 and 479.86

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Solution

The fourth proportional to 805.16, 1,205.91 and 479.86 is: 718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.16 : 1,205.91 = 479.86 : x
  2. Step 2: Convert to fraction form
    805.16/1,205.91 = 479.86/x
  3. Step 3: Cross multiply
    805.16x = 1,205.91 × 479.86
  4. Step 4: Simplify right side
    805.16x = 578,664.96
  5. Step 5: Solve for x
    x = 578,664.96/805.16
  6. Step 6: Final answer
    x = 718.69

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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.