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Finding the Fourth Proportional to 631.95, 946.53 and 522

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Solution

The fourth proportional to 631.95, 946.53 and 522 is: 781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.95 : 946.53 = 522 : x
  2. Step 2: Convert to fraction form
    631.95/946.53 = 522/x
  3. Step 3: Cross multiply
    631.95x = 946.53 × 522
  4. Step 4: Simplify right side
    631.95x = 494,088.66
  5. Step 5: Solve for x
    x = 494,088.66/631.95
  6. Step 6: Final answer
    x = 781.85

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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.