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Finding the Fourth Proportional to 464, 695.70 and 317.80

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Solution

The fourth proportional to 464, 695.70 and 317.80 is: 476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    464 : 695.70 = 317.80 : x
  2. Step 2: Convert to fraction form
    464/695.70 = 317.80/x
  3. Step 3: Cross multiply
    464x = 695.70 × 317.80
  4. Step 4: Simplify right side
    464x = 221,093.46
  5. Step 5: Solve for x
    x = 221,093.46/464
  6. Step 6: Final answer
    x = 476.49

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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.