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Finding the Fourth Proportional to 873.18, 1,205.14 and 500.09

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Solution

The fourth proportional to 873.18, 1,205.14 and 500.09 is: 690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.18 : 1,205.14 = 500.09 : x
  2. Step 2: Convert to fraction form
    873.18/1,205.14 = 500.09/x
  3. Step 3: Cross multiply
    873.18x = 1,205.14 × 500.09
  4. Step 4: Simplify right side
    873.18x = 602,678.46
  5. Step 5: Solve for x
    x = 602,678.46/873.18
  6. Step 6: Final answer
    x = 690.21

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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.