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Finding the Fourth Proportional to 522.51, 780.15 and 517.32

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Solution

The fourth proportional to 522.51, 780.15 and 517.32 is: 772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.51 : 780.15 = 517.32 : x
  2. Step 2: Convert to fraction form
    522.51/780.15 = 517.32/x
  3. Step 3: Cross multiply
    522.51x = 780.15 × 517.32
  4. Step 4: Simplify right side
    522.51x = 403,587.20
  5. Step 5: Solve for x
    x = 403,587.20/522.51
  6. Step 6: Final answer
    x = 772.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.