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Finding the Fourth Proportional to 601.00, 897.31 and 564.10

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Solution

The fourth proportional to 601.00, 897.31 and 564.10 is: 842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.00 : 897.31 = 564.10 : x
  2. Step 2: Convert to fraction form
    601.00/897.31 = 564.10/x
  3. Step 3: Cross multiply
    601.00x = 897.31 × 564.10
  4. Step 4: Simplify right side
    601.00x = 506,171.03
  5. Step 5: Solve for x
    x = 506,171.03/601.00
  6. Step 6: Final answer
    x = 842.22

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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.