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Finding the Fourth Proportional to 578.98, 869.40 and 549.74

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Solution

The fourth proportional to 578.98, 869.40 and 549.74 is: 825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.98 : 869.40 = 549.74 : x
  2. Step 2: Convert to fraction form
    578.98/869.40 = 549.74/x
  3. Step 3: Cross multiply
    578.98x = 869.40 × 549.74
  4. Step 4: Simplify right side
    578.98x = 477,943.96
  5. Step 5: Solve for x
    x = 477,943.96/578.98
  6. Step 6: Final answer
    x = 825.49

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Double scale
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1.5x scale

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.