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Finding the Fourth Proportional to 464.76, 640.48 and 317.14

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Solution

The fourth proportional to 464.76, 640.48 and 317.14 is: 437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.76 : 640.48 = 317.14 : x
  2. Step 2: Convert to fraction form
    464.76/640.48 = 317.14/x
  3. Step 3: Cross multiply
    464.76x = 640.48 × 317.14
  4. Step 4: Simplify right side
    464.76x = 203,121.83
  5. Step 5: Solve for x
    x = 203,121.83/464.76
  6. Step 6: Final answer
    x = 437.05

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Find fourth proportional to 232.38, 320.24 and 158.57
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Double scale
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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.