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Finding the Fourth Proportional to 693.77, 1,041.26 and 488.84

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Solution

The fourth proportional to 693.77, 1,041.26 and 488.84 is: 733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.77 : 1,041.26 = 488.84 : x
  2. Step 2: Convert to fraction form
    693.77/1,041.26 = 488.84/x
  3. Step 3: Cross multiply
    693.77x = 1,041.26 × 488.84
  4. Step 4: Simplify right side
    693.77x = 509,001.89
  5. Step 5: Solve for x
    x = 509,001.89/693.77
  6. Step 6: Final answer
    x = 733.68

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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.