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Finding the Fourth Proportional to 570.72, 784.20 and 511.20

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Solution

The fourth proportional to 570.72, 784.20 and 511.20 is: 702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.72 : 784.20 = 511.20 : x
  2. Step 2: Convert to fraction form
    570.72/784.20 = 511.20/x
  3. Step 3: Cross multiply
    570.72x = 784.20 × 511.20
  4. Step 4: Simplify right side
    570.72x = 400,883.04
  5. Step 5: Solve for x
    x = 400,883.04/570.72
  6. Step 6: Final answer
    x = 702.42

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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.