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Finding the Fourth Proportional to 524.55, 723.90 and 288.51

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Solution

The fourth proportional to 524.55, 723.90 and 288.51 is: 398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.55 : 723.90 = 288.51 : x
  2. Step 2: Convert to fraction form
    524.55/723.90 = 288.51/x
  3. Step 3: Cross multiply
    524.55x = 723.90 × 288.51
  4. Step 4: Simplify right side
    524.55x = 208,850.86
  5. Step 5: Solve for x
    x = 208,850.86/524.55
  6. Step 6: Final answer
    x = 398.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.