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Finding the Fourth Proportional to 1,055.90, 1,457.61 and 776.18

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Solution

The fourth proportional to 1,055.90, 1,457.61 and 776.18 is: 1,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.90 : 1,457.61 = 776.18 : x
  2. Step 2: Convert to fraction form
    1,055.90/1,457.61 = 776.18/x
  3. Step 3: Cross multiply
    1,055.90x = 1,457.61 × 776.18
  4. Step 4: Simplify right side
    1,055.90x = 1,131,367.73
  5. Step 5: Solve for x
    x = 1,131,367.73/1,055.90
  6. Step 6: Final answer
    x = 1,071.47

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Why These Related Problems?

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