Home / 1,159.14-1,598.28-786.36

Finding the Fourth Proportional to 1,159.14, 1,598.28 and 786.36

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Solution

The fourth proportional to 1,159.14, 1,598.28 and 786.36 is: 1,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.14 : 1,598.28 = 786.36 : x
  2. Step 2: Convert to fraction form
    1,159.14/1,598.28 = 786.36/x
  3. Step 3: Cross multiply
    1,159.14x = 1,598.28 × 786.36
  4. Step 4: Simplify right side
    1,159.14x = 1,256,826.51
  5. Step 5: Solve for x
    x = 1,256,826.51/1,159.14
  6. Step 6: Final answer
    x = 1,084.27

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1.5x scale

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.