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Finding the Fourth Proportional to 809.51, 1,213.95 and 347.51

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Solution

The fourth proportional to 809.51, 1,213.95 and 347.51 is: 521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.51 : 1,213.95 = 347.51 : x
  2. Step 2: Convert to fraction form
    809.51/1,213.95 = 347.51/x
  3. Step 3: Cross multiply
    809.51x = 1,213.95 × 347.51
  4. Step 4: Simplify right side
    809.51x = 421,859.76
  5. Step 5: Solve for x
    x = 421,859.76/809.51
  6. Step 6: Final answer
    x = 521.13

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1.5x scale

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.