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Finding the Fourth Proportional to 504.84, 753.86 and 499.48

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Solution

The fourth proportional to 504.84, 753.86 and 499.48 is: 745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.84 : 753.86 = 499.48 : x
  2. Step 2: Convert to fraction form
    504.84/753.86 = 499.48/x
  3. Step 3: Cross multiply
    504.84x = 753.86 × 499.48
  4. Step 4: Simplify right side
    504.84x = 376,537.99
  5. Step 5: Solve for x
    x = 376,537.99/504.84
  6. Step 6: Final answer
    x = 745.86

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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.