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Finding the Fourth Proportional to 524.88, 780.90 and 494.16

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Solution

The fourth proportional to 524.88, 780.90 and 494.16 is: 735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.88 : 780.90 = 494.16 : x
  2. Step 2: Convert to fraction form
    524.88/780.90 = 494.16/x
  3. Step 3: Cross multiply
    524.88x = 780.90 × 494.16
  4. Step 4: Simplify right side
    524.88x = 385,889.54
  5. Step 5: Solve for x
    x = 385,889.54/524.88
  6. Step 6: Final answer
    x = 735.20

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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.