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Finding the Fourth Proportional to 570.79, 850.19 and 544.13

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Solution

The fourth proportional to 570.79, 850.19 and 544.13 is: 810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.79 : 850.19 = 544.13 : x
  2. Step 2: Convert to fraction form
    570.79/850.19 = 544.13/x
  3. Step 3: Cross multiply
    570.79x = 850.19 × 544.13
  4. Step 4: Simplify right side
    570.79x = 462,606.91
  5. Step 5: Solve for x
    x = 462,606.91/570.79
  6. Step 6: Final answer
    x = 810.47

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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.