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Finding the Fourth Proportional to 816.99, 1,127.72 and 467.79

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Solution

The fourth proportional to 816.99, 1,127.72 and 467.79 is: 645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.99 : 1,127.72 = 467.79 : x
  2. Step 2: Convert to fraction form
    816.99/1,127.72 = 467.79/x
  3. Step 3: Cross multiply
    816.99x = 1,127.72 × 467.79
  4. Step 4: Simplify right side
    816.99x = 527,533.80
  5. Step 5: Solve for x
    x = 527,533.80/816.99
  6. Step 6: Final answer
    x = 645.70

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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.