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Finding the Fourth Proportional to 474.78, 707.91 and 427.59

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Solution

The fourth proportional to 474.78, 707.91 and 427.59 is: 637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.78 : 707.91 = 427.59 : x
  2. Step 2: Convert to fraction form
    474.78/707.91 = 427.59/x
  3. Step 3: Cross multiply
    474.78x = 707.91 × 427.59
  4. Step 4: Simplify right side
    474.78x = 302,695.24
  5. Step 5: Solve for x
    x = 302,695.24/474.78
  6. Step 6: Final answer
    x = 637.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.