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Finding the Fourth Proportional to 523.61, 780.59 and 498.99

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Solution

The fourth proportional to 523.61, 780.59 and 498.99 is: 743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.61 : 780.59 = 498.99 : x
  2. Step 2: Convert to fraction form
    523.61/780.59 = 498.99/x
  3. Step 3: Cross multiply
    523.61x = 780.59 × 498.99
  4. Step 4: Simplify right side
    523.61x = 389,504.11
  5. Step 5: Solve for x
    x = 389,504.11/523.61
  6. Step 6: Final answer
    x = 743.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.