Home / 1,646.80-2,272.32-948.16

Finding the Fourth Proportional to 1,646.80, 2,272.32 and 948.16

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Solution

The fourth proportional to 1,646.80, 2,272.32 and 948.16 is: 1,308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.80 : 2,272.32 = 948.16 : x
  2. Step 2: Convert to fraction form
    1,646.80/2,272.32 = 948.16/x
  3. Step 3: Cross multiply
    1,646.80x = 2,272.32 × 948.16
  4. Step 4: Simplify right side
    1,646.80x = 2,154,522.93
  5. Step 5: Solve for x
    x = 2,154,522.93/1,646.80
  6. Step 6: Final answer
    x = 1,308.31

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1.5x scale

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.