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Finding the Fourth Proportional to 873.01, 1,307.36 and 506.69

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Solution

The fourth proportional to 873.01, 1,307.36 and 506.69 is: 758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.01 : 1,307.36 = 506.69 : x
  2. Step 2: Convert to fraction form
    873.01/1,307.36 = 506.69/x
  3. Step 3: Cross multiply
    873.01x = 1,307.36 × 506.69
  4. Step 4: Simplify right side
    873.01x = 662,423.02
  5. Step 5: Solve for x
    x = 662,423.02/873.01
  6. Step 6: Final answer
    x = 758.78

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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.