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Finding the Fourth Proportional to 1,055.68, 1,575.84 and 969.01

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Solution

The fourth proportional to 1,055.68, 1,575.84 and 969.01 is: 1,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.68 : 1,575.84 = 969.01 : x
  2. Step 2: Convert to fraction form
    1,055.68/1,575.84 = 969.01/x
  3. Step 3: Cross multiply
    1,055.68x = 1,575.84 × 969.01
  4. Step 4: Simplify right side
    1,055.68x = 1,527,004.41
  5. Step 5: Solve for x
    x = 1,527,004.41/1,055.68
  6. Step 6: Final answer
    x = 1,446.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.