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Finding the Fourth Proportional to 677.34, 933.06 and 566.82

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Solution

The fourth proportional to 677.34, 933.06 and 566.82 is: 780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.34 : 933.06 = 566.82 : x
  2. Step 2: Convert to fraction form
    677.34/933.06 = 566.82/x
  3. Step 3: Cross multiply
    677.34x = 933.06 × 566.82
  4. Step 4: Simplify right side
    677.34x = 528,877.07
  5. Step 5: Solve for x
    x = 528,877.07/677.34
  6. Step 6: Final answer
    x = 780.81

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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.