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Finding the Fourth Proportional to 675.81, 933.93 and 559.17

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Solution

The fourth proportional to 675.81, 933.93 and 559.17 is: 772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.81 : 933.93 = 559.17 : x
  2. Step 2: Convert to fraction form
    675.81/933.93 = 559.17/x
  3. Step 3: Cross multiply
    675.81x = 933.93 × 559.17
  4. Step 4: Simplify right side
    675.81x = 522,225.64
  5. Step 5: Solve for x
    x = 522,225.64/675.81
  6. Step 6: Final answer
    x = 772.74

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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.