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Finding the Fourth Proportional to 552.51, 832.74 and 522.81

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Solution

The fourth proportional to 552.51, 832.74 and 522.81 is: 787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.51 : 832.74 = 522.81 : x
  2. Step 2: Convert to fraction form
    552.51/832.74 = 522.81/x
  3. Step 3: Cross multiply
    552.51x = 832.74 × 522.81
  4. Step 4: Simplify right side
    552.51x = 435,364.80
  5. Step 5: Solve for x
    x = 435,364.80/552.51
  6. Step 6: Final answer
    x = 787.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.