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Finding the Fourth Proportional to 680.19, 940.07 and 586.90

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Solution

The fourth proportional to 680.19, 940.07 and 586.90 is: 811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.19 : 940.07 = 586.90 : x
  2. Step 2: Convert to fraction form
    680.19/940.07 = 586.90/x
  3. Step 3: Cross multiply
    680.19x = 940.07 × 586.90
  4. Step 4: Simplify right side
    680.19x = 551,727.91
  5. Step 5: Solve for x
    x = 551,727.91/680.19
  6. Step 6: Final answer
    x = 811.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.