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Finding the Fourth Proportional to 803.32, 1,107.66 and 593.80

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Solution

The fourth proportional to 803.32, 1,107.66 and 593.80 is: 818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.32 : 1,107.66 = 593.80 : x
  2. Step 2: Convert to fraction form
    803.32/1,107.66 = 593.80/x
  3. Step 3: Cross multiply
    803.32x = 1,107.66 × 593.80
  4. Step 4: Simplify right side
    803.32x = 657,728.51
  5. Step 5: Solve for x
    x = 657,728.51/803.32
  6. Step 6: Final answer
    x = 818.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.