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Finding the Fourth Proportional to 601.86, 903.06 and 578.28

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Solution

The fourth proportional to 601.86, 903.06 and 578.28 is: 867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.86 : 903.06 = 578.28 : x
  2. Step 2: Convert to fraction form
    601.86/903.06 = 578.28/x
  3. Step 3: Cross multiply
    601.86x = 903.06 × 578.28
  4. Step 4: Simplify right side
    601.86x = 522,224.92
  5. Step 5: Solve for x
    x = 522,224.92/601.86
  6. Step 6: Final answer
    x = 867.68

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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.