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Finding the Fourth Proportional to 543.57, 749.84 and 419.19

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Solution

The fourth proportional to 543.57, 749.84 and 419.19 is: 578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.57 : 749.84 = 419.19 : x
  2. Step 2: Convert to fraction form
    543.57/749.84 = 419.19/x
  3. Step 3: Cross multiply
    543.57x = 749.84 × 419.19
  4. Step 4: Simplify right side
    543.57x = 314,325.43
  5. Step 5: Solve for x
    x = 314,325.43/543.57
  6. Step 6: Final answer
    x = 578.26

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1.5x scale

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.