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Finding the Fourth Proportional to 598.90, 897.36 and 549.14

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Solution

The fourth proportional to 598.90, 897.36 and 549.14 is: 822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.90 : 897.36 = 549.14 : x
  2. Step 2: Convert to fraction form
    598.90/897.36 = 549.14/x
  3. Step 3: Cross multiply
    598.90x = 897.36 × 549.14
  4. Step 4: Simplify right side
    598.90x = 492,776.27
  5. Step 5: Solve for x
    x = 492,776.27/598.90
  6. Step 6: Final answer
    x = 822.80

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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.