Home / 1,564.19-2,158.53-865.55

Finding the Fourth Proportional to 1,564.19, 2,158.53 and 865.55

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Solution

The fourth proportional to 1,564.19, 2,158.53 and 865.55 is: 1,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.19 : 2,158.53 = 865.55 : x
  2. Step 2: Convert to fraction form
    1,564.19/2,158.53 = 865.55/x
  3. Step 3: Cross multiply
    1,564.19x = 2,158.53 × 865.55
  4. Step 4: Simplify right side
    1,564.19x = 1,868,315.64
  5. Step 5: Solve for x
    x = 1,868,315.64/1,564.19
  6. Step 6: Final answer
    x = 1,194.43

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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.