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Finding the Fourth Proportional to 584.28, 871.19 and 577.08

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Solution

The fourth proportional to 584.28, 871.19 and 577.08 is: 860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.28 : 871.19 = 577.08 : x
  2. Step 2: Convert to fraction form
    584.28/871.19 = 577.08/x
  3. Step 3: Cross multiply
    584.28x = 871.19 × 577.08
  4. Step 4: Simplify right side
    584.28x = 502,746.33
  5. Step 5: Solve for x
    x = 502,746.33/584.28
  6. Step 6: Final answer
    x = 860.45

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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.