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Finding the Fourth Proportional to 902.58, 1,350.77 and 555.77

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Solution

The fourth proportional to 902.58, 1,350.77 and 555.77 is: 831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.58 : 1,350.77 = 555.77 : x
  2. Step 2: Convert to fraction form
    902.58/1,350.77 = 555.77/x
  3. Step 3: Cross multiply
    902.58x = 1,350.77 × 555.77
  4. Step 4: Simplify right side
    902.58x = 750,707.91
  5. Step 5: Solve for x
    x = 750,707.91/902.58
  6. Step 6: Final answer
    x = 831.74

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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.