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Finding the Fourth Proportional to 1,603.63, 2,211.19 and 1,307.98

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Solution

The fourth proportional to 1,603.63, 2,211.19 and 1,307.98 is: 1,803.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.63 : 2,211.19 = 1,307.98 : x
  2. Step 2: Convert to fraction form
    1,603.63/2,211.19 = 1,307.98/x
  3. Step 3: Cross multiply
    1,603.63x = 2,211.19 × 1,307.98
  4. Step 4: Simplify right side
    1,603.63x = 2,892,192.30
  5. Step 5: Solve for x
    x = 2,892,192.30/1,603.63
  6. Step 6: Final answer
    x = 1,803.53

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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.