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Finding the Fourth Proportional to 873.29, 1,204.98 and 523.98

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Solution

The fourth proportional to 873.29, 1,204.98 and 523.98 is: 723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.29 : 1,204.98 = 523.98 : x
  2. Step 2: Convert to fraction form
    873.29/1,204.98 = 523.98/x
  3. Step 3: Cross multiply
    873.29x = 1,204.98 × 523.98
  4. Step 4: Simplify right side
    873.29x = 631,385.42
  5. Step 5: Solve for x
    x = 631,385.42/873.29
  6. Step 6: Final answer
    x = 723.00

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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.