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Finding the Fourth Proportional to 607.80, 838.56 and 398.10

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Solution

The fourth proportional to 607.80, 838.56 and 398.10 is: 549.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.80 : 838.56 = 398.10 : x
  2. Step 2: Convert to fraction form
    607.80/838.56 = 398.10/x
  3. Step 3: Cross multiply
    607.80x = 838.56 × 398.10
  4. Step 4: Simplify right side
    607.80x = 333,830.74
  5. Step 5: Solve for x
    x = 333,830.74/607.80
  6. Step 6: Final answer
    x = 549.24

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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.