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Finding the Fourth Proportional to 707.67, 976.70 and 427.95

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Solution

The fourth proportional to 707.67, 976.70 and 427.95 is: 590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.67 : 976.70 = 427.95 : x
  2. Step 2: Convert to fraction form
    707.67/976.70 = 427.95/x
  3. Step 3: Cross multiply
    707.67x = 976.70 × 427.95
  4. Step 4: Simplify right side
    707.67x = 417,978.77
  5. Step 5: Solve for x
    x = 417,978.77/707.67
  6. Step 6: Final answer
    x = 590.64

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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.