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Finding the Fourth Proportional to 524.48, 720.53 and 425.93

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Solution

The fourth proportional to 524.48, 720.53 and 425.93 is: 585.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.48 : 720.53 = 425.93 : x
  2. Step 2: Convert to fraction form
    524.48/720.53 = 425.93/x
  3. Step 3: Cross multiply
    524.48x = 720.53 × 425.93
  4. Step 4: Simplify right side
    524.48x = 306,891.21
  5. Step 5: Solve for x
    x = 306,891.21/524.48
  6. Step 6: Final answer
    x = 585.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.