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Finding the Fourth Proportional to 424.88, 582.74 and 417.84

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Solution

The fourth proportional to 424.88, 582.74 and 417.84 is: 573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.88 : 582.74 = 417.84 : x
  2. Step 2: Convert to fraction form
    424.88/582.74 = 417.84/x
  3. Step 3: Cross multiply
    424.88x = 582.74 × 417.84
  4. Step 4: Simplify right side
    424.88x = 243,492.08
  5. Step 5: Solve for x
    x = 243,492.08/424.88
  6. Step 6: Final answer
    x = 573.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.