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Finding the Fourth Proportional to 589.04, 808.54 and 537.20

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Solution

The fourth proportional to 589.04, 808.54 and 537.20 is: 737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.04 : 808.54 = 537.20 : x
  2. Step 2: Convert to fraction form
    589.04/808.54 = 537.20/x
  3. Step 3: Cross multiply
    589.04x = 808.54 × 537.20
  4. Step 4: Simplify right side
    589.04x = 434,347.69
  5. Step 5: Solve for x
    x = 434,347.69/589.04
  6. Step 6: Final answer
    x = 737.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.