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Finding the Fourth Proportional to 1,055.19, 1,457.65 and 762.00

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Solution

The fourth proportional to 1,055.19, 1,457.65 and 762.00 is: 1,052.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.19 : 1,457.65 = 762.00 : x
  2. Step 2: Convert to fraction form
    1,055.19/1,457.65 = 762.00/x
  3. Step 3: Cross multiply
    1,055.19x = 1,457.65 × 762.00
  4. Step 4: Simplify right side
    1,055.19x = 1,110,724.79
  5. Step 5: Solve for x
    x = 1,110,724.79/1,055.19
  6. Step 6: Final answer
    x = 1,052.63

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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.