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Finding the Fourth Proportional to 442.40, 606.70 and 424.40

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Solution

The fourth proportional to 442.40, 606.70 and 424.40 is: 582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.40 : 606.70 = 424.40 : x
  2. Step 2: Convert to fraction form
    442.40/606.70 = 424.40/x
  3. Step 3: Cross multiply
    442.40x = 606.70 × 424.40
  4. Step 4: Simplify right side
    442.40x = 257,483.48
  5. Step 5: Solve for x
    x = 257,483.48/442.40
  6. Step 6: Final answer
    x = 582.02

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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.