Home / 1,071.14-1,477.37-922.02

Finding the Fourth Proportional to 1,071.14, 1,477.37 and 922.02

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Solution

The fourth proportional to 1,071.14, 1,477.37 and 922.02 is: 1,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.14 : 1,477.37 = 922.02 : x
  2. Step 2: Convert to fraction form
    1,071.14/1,477.37 = 922.02/x
  3. Step 3: Cross multiply
    1,071.14x = 1,477.37 × 922.02
  4. Step 4: Simplify right side
    1,071.14x = 1,362,160.08
  5. Step 5: Solve for x
    x = 1,362,160.08/1,071.14
  6. Step 6: Final answer
    x = 1,271.70

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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.