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Finding the Fourth Proportional to 1,045.98, 1,443.44 and 567.43

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Solution

The fourth proportional to 1,045.98, 1,443.44 and 567.43 is: 783.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.98 : 1,443.44 = 567.43 : x
  2. Step 2: Convert to fraction form
    1,045.98/1,443.44 = 567.43/x
  3. Step 3: Cross multiply
    1,045.98x = 1,443.44 × 567.43
  4. Step 4: Simplify right side
    1,045.98x = 819,047.55
  5. Step 5: Solve for x
    x = 819,047.55/1,045.98
  6. Step 6: Final answer
    x = 783.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.