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Finding the Fourth Proportional to 803.47, 1,205.51 and 456.59

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Solution

The fourth proportional to 803.47, 1,205.51 and 456.59 is: 685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.47 : 1,205.51 = 456.59 : x
  2. Step 2: Convert to fraction form
    803.47/1,205.51 = 456.59/x
  3. Step 3: Cross multiply
    803.47x = 1,205.51 × 456.59
  4. Step 4: Simplify right side
    803.47x = 550,423.81
  5. Step 5: Solve for x
    x = 550,423.81/803.47
  6. Step 6: Final answer
    x = 685.06

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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.