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Finding the Fourth Proportional to 707.66, 976.47 and 413

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Solution

The fourth proportional to 707.66, 976.47 and 413 is: 569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.66 : 976.47 = 413 : x
  2. Step 2: Convert to fraction form
    707.66/976.47 = 413/x
  3. Step 3: Cross multiply
    707.66x = 976.47 × 413
  4. Step 4: Simplify right side
    707.66x = 403,282.11
  5. Step 5: Solve for x
    x = 403,282.11/707.66
  6. Step 6: Final answer
    x = 569.88

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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.