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Finding the Fourth Proportional to 579.60, 794.10 and 571.50

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Solution

The fourth proportional to 579.60, 794.10 and 571.50 is: 783.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.60 : 794.10 = 571.50 : x
  2. Step 2: Convert to fraction form
    579.60/794.10 = 571.50/x
  3. Step 3: Cross multiply
    579.60x = 794.10 × 571.50
  4. Step 4: Simplify right side
    579.60x = 453,828.15
  5. Step 5: Solve for x
    x = 453,828.15/579.60
  6. Step 6: Final answer
    x = 783.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.