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Finding the Fourth Proportional to 584.70, 875.70 and 571.20

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Solution

The fourth proportional to 584.70, 875.70 and 571.20 is: 855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.70 : 875.70 = 571.20 : x
  2. Step 2: Convert to fraction form
    584.70/875.70 = 571.20/x
  3. Step 3: Cross multiply
    584.70x = 875.70 × 571.20
  4. Step 4: Simplify right side
    584.70x = 500,199.84
  5. Step 5: Solve for x
    x = 500,199.84/584.70
  6. Step 6: Final answer
    x = 855.48

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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.