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Finding the Fourth Proportional to 706.19, 1,058.54 and 340.21

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Solution

The fourth proportional to 706.19, 1,058.54 and 340.21 is: 509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.19 : 1,058.54 = 340.21 : x
  2. Step 2: Convert to fraction form
    706.19/1,058.54 = 340.21/x
  3. Step 3: Cross multiply
    706.19x = 1,058.54 × 340.21
  4. Step 4: Simplify right side
    706.19x = 360,124.10
  5. Step 5: Solve for x
    x = 360,124.10/706.19
  6. Step 6: Final answer
    x = 509.95

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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.