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Finding the Fourth Proportional to 522.88, 781.07 and 445.48

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Solution

The fourth proportional to 522.88, 781.07 and 445.48 is: 665.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.88 : 781.07 = 445.48 : x
  2. Step 2: Convert to fraction form
    522.88/781.07 = 445.48/x
  3. Step 3: Cross multiply
    522.88x = 781.07 × 445.48
  4. Step 4: Simplify right side
    522.88x = 347,951.06
  5. Step 5: Solve for x
    x = 347,951.06/522.88
  6. Step 6: Final answer
    x = 665.45

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.