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Finding the Fourth Proportional to 559.08, 841.92 and 487.80

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Solution

The fourth proportional to 559.08, 841.92 and 487.80 is: 734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.08 : 841.92 = 487.80 : x
  2. Step 2: Convert to fraction form
    559.08/841.92 = 487.80/x
  3. Step 3: Cross multiply
    559.08x = 841.92 × 487.80
  4. Step 4: Simplify right side
    559.08x = 410,688.58
  5. Step 5: Solve for x
    x = 410,688.58/559.08
  6. Step 6: Final answer
    x = 734.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.