Home / 1,134.39-1,564.59-977.28

Finding the Fourth Proportional to 1,134.39, 1,564.59 and 977.28

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Solution

The fourth proportional to 1,134.39, 1,564.59 and 977.28 is: 1,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.39 : 1,564.59 = 977.28 : x
  2. Step 2: Convert to fraction form
    1,134.39/1,564.59 = 977.28/x
  3. Step 3: Cross multiply
    1,134.39x = 1,564.59 × 977.28
  4. Step 4: Simplify right side
    1,134.39x = 1,529,042.52
  5. Step 5: Solve for x
    x = 1,529,042.52/1,134.39
  6. Step 6: Final answer
    x = 1,347.90

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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.