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Finding the Fourth Proportional to 706.16, 1,058.34 and 431.48

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Solution

The fourth proportional to 706.16, 1,058.34 and 431.48 is: 646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.16 : 1,058.34 = 431.48 : x
  2. Step 2: Convert to fraction form
    706.16/1,058.34 = 431.48/x
  3. Step 3: Cross multiply
    706.16x = 1,058.34 × 431.48
  4. Step 4: Simplify right side
    706.16x = 456,652.54
  5. Step 5: Solve for x
    x = 456,652.54/706.16
  6. Step 6: Final answer
    x = 646.67

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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.