Home / 1,322.07-1,983.36-397.58

Finding the Fourth Proportional to 1,322.07, 1,983.36 and 397.58

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Solution

The fourth proportional to 1,322.07, 1,983.36 and 397.58 is: 596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.07 : 1,983.36 = 397.58 : x
  2. Step 2: Convert to fraction form
    1,322.07/1,983.36 = 397.58/x
  3. Step 3: Cross multiply
    1,322.07x = 1,983.36 × 397.58
  4. Step 4: Simplify right side
    1,322.07x = 788,547.00
  5. Step 5: Solve for x
    x = 788,547.00/1,322.07
  6. Step 6: Final answer
    x = 596.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.