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Finding the Fourth Proportional to 761.98, 1,050.26 and 566.36

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Solution

The fourth proportional to 761.98, 1,050.26 and 566.36 is: 780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.98 : 1,050.26 = 566.36 : x
  2. Step 2: Convert to fraction form
    761.98/1,050.26 = 566.36/x
  3. Step 3: Cross multiply
    761.98x = 1,050.26 × 566.36
  4. Step 4: Simplify right side
    761.98x = 594,825.25
  5. Step 5: Solve for x
    x = 594,825.25/761.98
  6. Step 6: Final answer
    x = 780.63

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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.