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Finding the Fourth Proportional to 523, 721.74 and 316

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Solution

The fourth proportional to 523, 721.74 and 316 is: 436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    523 : 721.74 = 316 : x
  2. Step 2: Convert to fraction form
    523/721.74 = 316/x
  3. Step 3: Cross multiply
    523x = 721.74 × 316
  4. Step 4: Simplify right side
    523x = 228,069.84
  5. Step 5: Solve for x
    x = 228,069.84/523
  6. Step 6: Final answer
    x = 436.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.