Home / 1,307.72-1,961.34-538.28

Finding the Fourth Proportional to 1,307.72, 1,961.34 and 538.28

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Solution

The fourth proportional to 1,307.72, 1,961.34 and 538.28 is: 807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.72 : 1,961.34 = 538.28 : x
  2. Step 2: Convert to fraction form
    1,307.72/1,961.34 = 538.28/x
  3. Step 3: Cross multiply
    1,307.72x = 1,961.34 × 538.28
  4. Step 4: Simplify right side
    1,307.72x = 1,055,750.10
  5. Step 5: Solve for x
    x = 1,055,750.10/1,307.72
  6. Step 6: Final answer
    x = 807.32

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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.