Home / 1,535.40-2,302.36-702.21

Finding the Fourth Proportional to 1,535.40, 2,302.36 and 702.21

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Solution

The fourth proportional to 1,535.40, 2,302.36 and 702.21 is: 1,052.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.40 : 2,302.36 = 702.21 : x
  2. Step 2: Convert to fraction form
    1,535.40/2,302.36 = 702.21/x
  3. Step 3: Cross multiply
    1,535.40x = 2,302.36 × 702.21
  4. Step 4: Simplify right side
    1,535.40x = 1,616,741.09
  5. Step 5: Solve for x
    x = 1,616,741.09/1,535.40
  6. Step 6: Final answer
    x = 1,052.98

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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.