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Finding the Fourth Proportional to 807.02, 1,210.78 and 478.27

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Solution

The fourth proportional to 807.02, 1,210.78 and 478.27 is: 717.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.02 : 1,210.78 = 478.27 : x
  2. Step 2: Convert to fraction form
    807.02/1,210.78 = 478.27/x
  3. Step 3: Cross multiply
    807.02x = 1,210.78 × 478.27
  4. Step 4: Simplify right side
    807.02x = 579,079.75
  5. Step 5: Solve for x
    x = 579,079.75/807.02
  6. Step 6: Final answer
    x = 717.55

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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.