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Finding the Fourth Proportional to 707.48, 976.50 and 427.72

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Solution

The fourth proportional to 707.48, 976.50 and 427.72 is: 590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.48 : 976.50 = 427.72 : x
  2. Step 2: Convert to fraction form
    707.48/976.50 = 427.72/x
  3. Step 3: Cross multiply
    707.48x = 976.50 × 427.72
  4. Step 4: Simplify right side
    707.48x = 417,668.58
  5. Step 5: Solve for x
    x = 417,668.58/707.48
  6. Step 6: Final answer
    x = 590.36

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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.