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Finding the Fourth Proportional to 706.79, 974.41 and 470.75

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Solution

The fourth proportional to 706.79, 974.41 and 470.75 is: 649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.79 : 974.41 = 470.75 : x
  2. Step 2: Convert to fraction form
    706.79/974.41 = 470.75/x
  3. Step 3: Cross multiply
    706.79x = 974.41 × 470.75
  4. Step 4: Simplify right side
    706.79x = 458,703.51
  5. Step 5: Solve for x
    x = 458,703.51/706.79
  6. Step 6: Final answer
    x = 649.00

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Double scale
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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.