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Finding the Fourth Proportional to 578.30, 870.59 and 527.27

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Solution

The fourth proportional to 578.30, 870.59 and 527.27 is: 793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.30 : 870.59 = 527.27 : x
  2. Step 2: Convert to fraction form
    578.30/870.59 = 527.27/x
  3. Step 3: Cross multiply
    578.30x = 870.59 × 527.27
  4. Step 4: Simplify right side
    578.30x = 459,029.00
  5. Step 5: Solve for x
    x = 459,029.00/578.30
  6. Step 6: Final answer
    x = 793.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.