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Finding the Fourth Proportional to 1,300.35, 1,951.22 and 569.76

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Solution

The fourth proportional to 1,300.35, 1,951.22 and 569.76 is: 854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.35 : 1,951.22 = 569.76 : x
  2. Step 2: Convert to fraction form
    1,300.35/1,951.22 = 569.76/x
  3. Step 3: Cross multiply
    1,300.35x = 1,951.22 × 569.76
  4. Step 4: Simplify right side
    1,300.35x = 1,111,727.11
  5. Step 5: Solve for x
    x = 1,111,727.11/1,300.35
  6. Step 6: Final answer
    x = 854.94

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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.