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Finding the Fourth Proportional to 776.65, 1,070.26 and 554.98

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Solution

The fourth proportional to 776.65, 1,070.26 and 554.98 is: 764.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.65 : 1,070.26 = 554.98 : x
  2. Step 2: Convert to fraction form
    776.65/1,070.26 = 554.98/x
  3. Step 3: Cross multiply
    776.65x = 1,070.26 × 554.98
  4. Step 4: Simplify right side
    776.65x = 593,972.89
  5. Step 5: Solve for x
    x = 593,972.89/776.65
  6. Step 6: Final answer
    x = 764.79

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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.