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Finding the Fourth Proportional to 900.80, 1,342.25 and 802.55

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Solution

The fourth proportional to 900.80, 1,342.25 and 802.55 is: 1,195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.80 : 1,342.25 = 802.55 : x
  2. Step 2: Convert to fraction form
    900.80/1,342.25 = 802.55/x
  3. Step 3: Cross multiply
    900.80x = 1,342.25 × 802.55
  4. Step 4: Simplify right side
    900.80x = 1,077,216.41
  5. Step 5: Solve for x
    x = 1,077,216.41/900.80
  6. Step 6: Final answer
    x = 1,195.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.