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Finding the Fourth Proportional to 897.36, 1,238.25 and 565.66

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Solution

The fourth proportional to 897.36, 1,238.25 and 565.66 is: 780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.36 : 1,238.25 = 565.66 : x
  2. Step 2: Convert to fraction form
    897.36/1,238.25 = 565.66/x
  3. Step 3: Cross multiply
    897.36x = 1,238.25 × 565.66
  4. Step 4: Simplify right side
    897.36x = 700,428.50
  5. Step 5: Solve for x
    x = 700,428.50/897.36
  6. Step 6: Final answer
    x = 780.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.