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Finding the Fourth Proportional to 537.68, 805.80 and 479.84

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Solution

The fourth proportional to 537.68, 805.80 and 479.84 is: 719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.68 : 805.80 = 479.84 : x
  2. Step 2: Convert to fraction form
    537.68/805.80 = 479.84/x
  3. Step 3: Cross multiply
    537.68x = 805.80 × 479.84
  4. Step 4: Simplify right side
    537.68x = 386,655.07
  5. Step 5: Solve for x
    x = 386,655.07/537.68
  6. Step 6: Final answer
    x = 719.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.