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Finding the Fourth Proportional to 802.56, 1,203.84 and 761.52

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Solution

The fourth proportional to 802.56, 1,203.84 and 761.52 is: 1,142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.56 : 1,203.84 = 761.52 : x
  2. Step 2: Convert to fraction form
    802.56/1,203.84 = 761.52/x
  3. Step 3: Cross multiply
    802.56x = 1,203.84 × 761.52
  4. Step 4: Simplify right side
    802.56x = 916,748.24
  5. Step 5: Solve for x
    x = 916,748.24/802.56
  6. Step 6: Final answer
    x = 1,142.28

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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.