Home / 1,742.12-2,612.38-646.44

Finding the Fourth Proportional to 1,742.12, 2,612.38 and 646.44

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Solution

The fourth proportional to 1,742.12, 2,612.38 and 646.44 is: 969.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.12 : 2,612.38 = 646.44 : x
  2. Step 2: Convert to fraction form
    1,742.12/2,612.38 = 646.44/x
  3. Step 3: Cross multiply
    1,742.12x = 2,612.38 × 646.44
  4. Step 4: Simplify right side
    1,742.12x = 1,688,746.93
  5. Step 5: Solve for x
    x = 1,688,746.93/1,742.12
  6. Step 6: Final answer
    x = 969.36

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1.5x scale

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.