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Finding the Fourth Proportional to 601.92, 830.28 and 444.39

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Solution

The fourth proportional to 601.92, 830.28 and 444.39 is: 612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.92 : 830.28 = 444.39 : x
  2. Step 2: Convert to fraction form
    601.92/830.28 = 444.39/x
  3. Step 3: Cross multiply
    601.92x = 830.28 × 444.39
  4. Step 4: Simplify right side
    601.92x = 368,968.13
  5. Step 5: Solve for x
    x = 368,968.13/601.92
  6. Step 6: Final answer
    x = 612.99

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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.