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Finding the Fourth Proportional to 524.24, 781.79 and 465.24

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Solution

The fourth proportional to 524.24, 781.79 and 465.24 is: 693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.24 : 781.79 = 465.24 : x
  2. Step 2: Convert to fraction form
    524.24/781.79 = 465.24/x
  3. Step 3: Cross multiply
    524.24x = 781.79 × 465.24
  4. Step 4: Simplify right side
    524.24x = 363,720.56
  5. Step 5: Solve for x
    x = 363,720.56/524.24
  6. Step 6: Final answer
    x = 693.80

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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.