Home / 1,565.45-2,160.31-857.29

Finding the Fourth Proportional to 1,565.45, 2,160.31 and 857.29

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Solution

The fourth proportional to 1,565.45, 2,160.31 and 857.29 is: 1,183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.45 : 2,160.31 = 857.29 : x
  2. Step 2: Convert to fraction form
    1,565.45/2,160.31 = 857.29/x
  3. Step 3: Cross multiply
    1,565.45x = 2,160.31 × 857.29
  4. Step 4: Simplify right side
    1,565.45x = 1,852,012.16
  5. Step 5: Solve for x
    x = 1,852,012.16/1,565.45
  6. Step 6: Final answer
    x = 1,183.05

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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.