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Finding the Fourth Proportional to 522.64, 781.59 and 390.97

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Solution

The fourth proportional to 522.64, 781.59 and 390.97 is: 584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.64 : 781.59 = 390.97 : x
  2. Step 2: Convert to fraction form
    522.64/781.59 = 390.97/x
  3. Step 3: Cross multiply
    522.64x = 781.59 × 390.97
  4. Step 4: Simplify right side
    522.64x = 305,580.69
  5. Step 5: Solve for x
    x = 305,580.69/522.64
  6. Step 6: Final answer
    x = 584.69

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1.5x scale

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.