Home / 1,302.24-1,953.29-480.45

Finding the Fourth Proportional to 1,302.24, 1,953.29 and 480.45

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Solution

The fourth proportional to 1,302.24, 1,953.29 and 480.45 is: 720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.24 : 1,953.29 = 480.45 : x
  2. Step 2: Convert to fraction form
    1,302.24/1,953.29 = 480.45/x
  3. Step 3: Cross multiply
    1,302.24x = 1,953.29 × 480.45
  4. Step 4: Simplify right side
    1,302.24x = 938,458.18
  5. Step 5: Solve for x
    x = 938,458.18/1,302.24
  6. Step 6: Final answer
    x = 720.65

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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.