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Finding the Fourth Proportional to 524.94, 786.53 and 370.55

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Solution

The fourth proportional to 524.94, 786.53 and 370.55 is: 555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.94 : 786.53 = 370.55 : x
  2. Step 2: Convert to fraction form
    524.94/786.53 = 370.55/x
  3. Step 3: Cross multiply
    524.94x = 786.53 × 370.55
  4. Step 4: Simplify right side
    524.94x = 291,446.75
  5. Step 5: Solve for x
    x = 291,446.75/524.94
  6. Step 6: Final answer
    x = 555.20

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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.