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Finding the Fourth Proportional to 507.80, 700.88 and 298.04

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Solution

The fourth proportional to 507.80, 700.88 and 298.04 is: 411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.80 : 700.88 = 298.04 : x
  2. Step 2: Convert to fraction form
    507.80/700.88 = 298.04/x
  3. Step 3: Cross multiply
    507.80x = 700.88 × 298.04
  4. Step 4: Simplify right side
    507.80x = 208,890.28
  5. Step 5: Solve for x
    x = 208,890.28/507.80
  6. Step 6: Final answer
    x = 411.36

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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.