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Finding the Fourth Proportional to 588.75, 812.78 and 414.40

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Solution

The fourth proportional to 588.75, 812.78 and 414.40 is: 572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.75 : 812.78 = 414.40 : x
  2. Step 2: Convert to fraction form
    588.75/812.78 = 414.40/x
  3. Step 3: Cross multiply
    588.75x = 812.78 × 414.40
  4. Step 4: Simplify right side
    588.75x = 336,816.03
  5. Step 5: Solve for x
    x = 336,816.03/588.75
  6. Step 6: Final answer
    x = 572.09

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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.