Home / 1,683.04-2,322.62-974.88

Finding the Fourth Proportional to 1,683.04, 2,322.62 and 974.88

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Solution

The fourth proportional to 1,683.04, 2,322.62 and 974.88 is: 1,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.04 : 2,322.62 = 974.88 : x
  2. Step 2: Convert to fraction form
    1,683.04/2,322.62 = 974.88/x
  3. Step 3: Cross multiply
    1,683.04x = 2,322.62 × 974.88
  4. Step 4: Simplify right side
    1,683.04x = 2,264,275.79
  5. Step 5: Solve for x
    x = 2,264,275.79/1,683.04
  6. Step 6: Final answer
    x = 1,345.35

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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.