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Finding the Fourth Proportional to 582.75, 872.70 and 561.78

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Solution

The fourth proportional to 582.75, 872.70 and 561.78 is: 841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.75 : 872.70 = 561.78 : x
  2. Step 2: Convert to fraction form
    582.75/872.70 = 561.78/x
  3. Step 3: Cross multiply
    582.75x = 872.70 × 561.78
  4. Step 4: Simplify right side
    582.75x = 490,265.41
  5. Step 5: Solve for x
    x = 490,265.41/582.75
  6. Step 6: Final answer
    x = 841.30

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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.