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Finding the Fourth Proportional to 1,050.51, 1,581.88 and 778.53

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Solution

The fourth proportional to 1,050.51, 1,581.88 and 778.53 is: 1,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.51 : 1,581.88 = 778.53 : x
  2. Step 2: Convert to fraction form
    1,050.51/1,581.88 = 778.53/x
  3. Step 3: Cross multiply
    1,050.51x = 1,581.88 × 778.53
  4. Step 4: Simplify right side
    1,050.51x = 1,231,541.04
  5. Step 5: Solve for x
    x = 1,231,541.04/1,050.51
  6. Step 6: Final answer
    x = 1,172.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.