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Finding the Fourth Proportional to 579.99, 864.30 and 564.15

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Solution

The fourth proportional to 579.99, 864.30 and 564.15 is: 840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.99 : 864.30 = 564.15 : x
  2. Step 2: Convert to fraction form
    579.99/864.30 = 564.15/x
  3. Step 3: Cross multiply
    579.99x = 864.30 × 564.15
  4. Step 4: Simplify right side
    579.99x = 487,594.85
  5. Step 5: Solve for x
    x = 487,594.85/579.99
  6. Step 6: Final answer
    x = 840.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.