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Finding the Fourth Proportional to 803.81, 1,108.50 and 524.26

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Solution

The fourth proportional to 803.81, 1,108.50 and 524.26 is: 722.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.81 : 1,108.50 = 524.26 : x
  2. Step 2: Convert to fraction form
    803.81/1,108.50 = 524.26/x
  3. Step 3: Cross multiply
    803.81x = 1,108.50 × 524.26
  4. Step 4: Simplify right side
    803.81x = 581,144.58
  5. Step 5: Solve for x
    x = 581,144.58/803.81
  6. Step 6: Final answer
    x = 722.99

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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.