Home / 1,686.24-2,528.91-646.38

Finding the Fourth Proportional to 1,686.24, 2,528.91 and 646.38

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Solution

The fourth proportional to 1,686.24, 2,528.91 and 646.38 is: 969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.24 : 2,528.91 = 646.38 : x
  2. Step 2: Convert to fraction form
    1,686.24/2,528.91 = 646.38/x
  3. Step 3: Cross multiply
    1,686.24x = 2,528.91 × 646.38
  4. Step 4: Simplify right side
    1,686.24x = 1,634,636.85
  5. Step 5: Solve for x
    x = 1,634,636.85/1,686.24
  6. Step 6: Final answer
    x = 969.40

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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.