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Finding the Fourth Proportional to 707.04, 1,058.39 and 428.66

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Solution

The fourth proportional to 707.04, 1,058.39 and 428.66 is: 641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.04 : 1,058.39 = 428.66 : x
  2. Step 2: Convert to fraction form
    707.04/1,058.39 = 428.66/x
  3. Step 3: Cross multiply
    707.04x = 1,058.39 × 428.66
  4. Step 4: Simplify right side
    707.04x = 453,682.02
  5. Step 5: Solve for x
    x = 453,682.02/707.04
  6. Step 6: Final answer
    x = 641.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.