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Finding the Fourth Proportional to 706.41, 1,058.58 and 340.77

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Solution

The fourth proportional to 706.41, 1,058.58 and 340.77 is: 510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.41 : 1,058.58 = 340.77 : x
  2. Step 2: Convert to fraction form
    706.41/1,058.58 = 340.77/x
  3. Step 3: Cross multiply
    706.41x = 1,058.58 × 340.77
  4. Step 4: Simplify right side
    706.41x = 360,727.01
  5. Step 5: Solve for x
    x = 360,727.01/706.41
  6. Step 6: Final answer
    x = 510.65

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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.