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Finding the Fourth Proportional to 1,868.26, 2,802.48 and 569.74

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Solution

The fourth proportional to 1,868.26, 2,802.48 and 569.74 is: 854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.26 : 2,802.48 = 569.74 : x
  2. Step 2: Convert to fraction form
    1,868.26/2,802.48 = 569.74/x
  3. Step 3: Cross multiply
    1,868.26x = 2,802.48 × 569.74
  4. Step 4: Simplify right side
    1,868.26x = 1,596,684.96
  5. Step 5: Solve for x
    x = 1,596,684.96/1,868.26
  6. Step 6: Final answer
    x = 854.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.