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Finding the Fourth Proportional to 1,802.05, 2,702.12 and 568.93

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Solution

The fourth proportional to 1,802.05, 2,702.12 and 568.93 is: 853.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.05 : 2,702.12 = 568.93 : x
  2. Step 2: Convert to fraction form
    1,802.05/2,702.12 = 568.93/x
  3. Step 3: Cross multiply
    1,802.05x = 2,702.12 × 568.93
  4. Step 4: Simplify right side
    1,802.05x = 1,537,314.29
  5. Step 5: Solve for x
    x = 1,537,314.29/1,802.05
  6. Step 6: Final answer
    x = 853.09

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Why These Related Problems?

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