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Finding the Fourth Proportional to 524.07, 790.16 and 488.84

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Solution

The fourth proportional to 524.07, 790.16 and 488.84 is: 737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.07 : 790.16 = 488.84 : x
  2. Step 2: Convert to fraction form
    524.07/790.16 = 488.84/x
  3. Step 3: Cross multiply
    524.07x = 790.16 × 488.84
  4. Step 4: Simplify right side
    524.07x = 386,255.42
  5. Step 5: Solve for x
    x = 386,255.42/524.07
  6. Step 6: Final answer
    x = 737.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.