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Finding the Fourth Proportional to 577.20, 859.76 and 570.02

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Solution

The fourth proportional to 577.20, 859.76 and 570.02 is: 849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.20 : 859.76 = 570.02 : x
  2. Step 2: Convert to fraction form
    577.20/859.76 = 570.02/x
  3. Step 3: Cross multiply
    577.20x = 859.76 × 570.02
  4. Step 4: Simplify right side
    577.20x = 490,080.40
  5. Step 5: Solve for x
    x = 490,080.40/577.20
  6. Step 6: Final answer
    x = 849.07

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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.