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Finding the Fourth Proportional to 802.48, 1,202.82 and 525.37

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Solution

The fourth proportional to 802.48, 1,202.82 and 525.37 is: 787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.48 : 1,202.82 = 525.37 : x
  2. Step 2: Convert to fraction form
    802.48/1,202.82 = 525.37/x
  3. Step 3: Cross multiply
    802.48x = 1,202.82 × 525.37
  4. Step 4: Simplify right side
    802.48x = 631,919.53
  5. Step 5: Solve for x
    x = 631,919.53/802.48
  6. Step 6: Final answer
    x = 787.46

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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.