Home / 1,959.08-2,938.64-498.23

Finding the Fourth Proportional to 1,959.08, 2,938.64 and 498.23

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Solution

The fourth proportional to 1,959.08, 2,938.64 and 498.23 is: 747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.08 : 2,938.64 = 498.23 : x
  2. Step 2: Convert to fraction form
    1,959.08/2,938.64 = 498.23/x
  3. Step 3: Cross multiply
    1,959.08x = 2,938.64 × 498.23
  4. Step 4: Simplify right side
    1,959.08x = 1,464,125.80
  5. Step 5: Solve for x
    x = 1,464,125.80/1,959.08
  6. Step 6: Final answer
    x = 747.35

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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.