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Finding the Fourth Proportional to 522.51, 782.80 and 465.34

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Solution

The fourth proportional to 522.51, 782.80 and 465.34 is: 697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.51 : 782.80 = 465.34 : x
  2. Step 2: Convert to fraction form
    522.51/782.80 = 465.34/x
  3. Step 3: Cross multiply
    522.51x = 782.80 × 465.34
  4. Step 4: Simplify right side
    522.51x = 364,265.03
  5. Step 5: Solve for x
    x = 364,265.03/522.51
  6. Step 6: Final answer
    x = 697.14

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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.