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Finding the Fourth Proportional to 577.40, 869.96 and 522.63

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Solution

The fourth proportional to 577.40, 869.96 and 522.63 is: 787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.40 : 869.96 = 522.63 : x
  2. Step 2: Convert to fraction form
    577.40/869.96 = 522.63/x
  3. Step 3: Cross multiply
    577.40x = 869.96 × 522.63
  4. Step 4: Simplify right side
    577.40x = 454,667.19
  5. Step 5: Solve for x
    x = 454,667.19/577.40
  6. Step 6: Final answer
    x = 787.44

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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.