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Finding the Fourth Proportional to 564.53, 840.99 and 539.23

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Solution

The fourth proportional to 564.53, 840.99 and 539.23 is: 803.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.53 : 840.99 = 539.23 : x
  2. Step 2: Convert to fraction form
    564.53/840.99 = 539.23/x
  3. Step 3: Cross multiply
    564.53x = 840.99 × 539.23
  4. Step 4: Simplify right side
    564.53x = 453,488.53
  5. Step 5: Solve for x
    x = 453,488.53/564.53
  6. Step 6: Final answer
    x = 803.31

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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.