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Finding the Fourth Proportional to 897.23, 1,237.64 and 565.06

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Solution

The fourth proportional to 897.23, 1,237.64 and 565.06 is: 779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.23 : 1,237.64 = 565.06 : x
  2. Step 2: Convert to fraction form
    897.23/1,237.64 = 565.06/x
  3. Step 3: Cross multiply
    897.23x = 1,237.64 × 565.06
  4. Step 4: Simplify right side
    897.23x = 699,340.86
  5. Step 5: Solve for x
    x = 699,340.86/897.23
  6. Step 6: Final answer
    x = 779.44

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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.