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Finding the Fourth Proportional to 1,565.79, 2,160.67 and 857.48

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Solution

The fourth proportional to 1,565.79, 2,160.67 and 857.48 is: 1,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.79 : 2,160.67 = 857.48 : x
  2. Step 2: Convert to fraction form
    1,565.79/2,160.67 = 857.48/x
  3. Step 3: Cross multiply
    1,565.79x = 2,160.67 × 857.48
  4. Step 4: Simplify right side
    1,565.79x = 1,852,716.22
  5. Step 5: Solve for x
    x = 1,852,716.22/1,565.79
  6. Step 6: Final answer
    x = 1,183.25

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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.