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Finding the Fourth Proportional to 897.80, 1,239.54 and 809.24

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Solution

The fourth proportional to 897.80, 1,239.54 and 809.24 is: 1,117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.80 : 1,239.54 = 809.24 : x
  2. Step 2: Convert to fraction form
    897.80/1,239.54 = 809.24/x
  3. Step 3: Cross multiply
    897.80x = 1,239.54 × 809.24
  4. Step 4: Simplify right side
    897.80x = 1,003,085.35
  5. Step 5: Solve for x
    x = 1,003,085.35/897.80
  6. Step 6: Final answer
    x = 1,117.27

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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.