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Finding the Fourth Proportional to 873.18, 1,204.67 and 499.89

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Solution

The fourth proportional to 873.18, 1,204.67 and 499.89 is: 689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.18 : 1,204.67 = 499.89 : x
  2. Step 2: Convert to fraction form
    873.18/1,204.67 = 499.89/x
  3. Step 3: Cross multiply
    873.18x = 1,204.67 × 499.89
  4. Step 4: Simplify right side
    873.18x = 602,199.99
  5. Step 5: Solve for x
    x = 602,199.99/873.18
  6. Step 6: Final answer
    x = 689.66

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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.