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Finding the Fourth Proportional to 566.37, 781.53 and 317.63

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Solution

The fourth proportional to 566.37, 781.53 and 317.63 is: 438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.37 : 781.53 = 317.63 : x
  2. Step 2: Convert to fraction form
    566.37/781.53 = 317.63/x
  3. Step 3: Cross multiply
    566.37x = 781.53 × 317.63
  4. Step 4: Simplify right side
    566.37x = 248,233.47
  5. Step 5: Solve for x
    x = 248,233.47/566.37
  6. Step 6: Final answer
    x = 438.29

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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.