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Finding the Fourth Proportional to 706.42, 1,058.40 and 447.01

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Solution

The fourth proportional to 706.42, 1,058.40 and 447.01 is: 669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.42 : 1,058.40 = 447.01 : x
  2. Step 2: Convert to fraction form
    706.42/1,058.40 = 447.01/x
  3. Step 3: Cross multiply
    706.42x = 1,058.40 × 447.01
  4. Step 4: Simplify right side
    706.42x = 473,115.38
  5. Step 5: Solve for x
    x = 473,115.38/706.42
  6. Step 6: Final answer
    x = 669.74

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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.