Home / 1,535.32-2,302.26-804.16

Finding the Fourth Proportional to 1,535.32, 2,302.26 and 804.16

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Solution

The fourth proportional to 1,535.32, 2,302.26 and 804.16 is: 1,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.32 : 2,302.26 = 804.16 : x
  2. Step 2: Convert to fraction form
    1,535.32/2,302.26 = 804.16/x
  3. Step 3: Cross multiply
    1,535.32x = 2,302.26 × 804.16
  4. Step 4: Simplify right side
    1,535.32x = 1,851,385.40
  5. Step 5: Solve for x
    x = 1,851,385.40/1,535.32
  6. Step 6: Final answer
    x = 1,205.86

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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.