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Finding the Fourth Proportional to 524.15, 785.57 and 459.01

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Solution

The fourth proportional to 524.15, 785.57 and 459.01 is: 687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.15 : 785.57 = 459.01 : x
  2. Step 2: Convert to fraction form
    524.15/785.57 = 459.01/x
  3. Step 3: Cross multiply
    524.15x = 785.57 × 459.01
  4. Step 4: Simplify right side
    524.15x = 360,580.23
  5. Step 5: Solve for x
    x = 360,580.23/524.15
  6. Step 6: Final answer
    x = 687.94

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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.