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Finding the Fourth Proportional to 807.10, 1,210.53 and 259.33

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Solution

The fourth proportional to 807.10, 1,210.53 and 259.33 is: 388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.10 : 1,210.53 = 259.33 : x
  2. Step 2: Convert to fraction form
    807.10/1,210.53 = 259.33/x
  3. Step 3: Cross multiply
    807.10x = 1,210.53 × 259.33
  4. Step 4: Simplify right side
    807.10x = 313,926.74
  5. Step 5: Solve for x
    x = 313,926.74/807.10
  6. Step 6: Final answer
    x = 388.96

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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.