Home / 1,230.14-1,699.75-983.49

Finding the Fourth Proportional to 1,230.14, 1,699.75 and 983.49

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Solution

The fourth proportional to 1,230.14, 1,699.75 and 983.49 is: 1,358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.14 : 1,699.75 = 983.49 : x
  2. Step 2: Convert to fraction form
    1,230.14/1,699.75 = 983.49/x
  3. Step 3: Cross multiply
    1,230.14x = 1,699.75 × 983.49
  4. Step 4: Simplify right side
    1,230.14x = 1,671,687.13
  5. Step 5: Solve for x
    x = 1,671,687.13/1,230.14
  6. Step 6: Final answer
    x = 1,358.94

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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.