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Finding the Fourth Proportional to 1,399.50, 1,931.22 and 1,045.26

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Solution

The fourth proportional to 1,399.50, 1,931.22 and 1,045.26 is: 1,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.50 : 1,931.22 = 1,045.26 : x
  2. Step 2: Convert to fraction form
    1,399.50/1,931.22 = 1,045.26/x
  3. Step 3: Cross multiply
    1,399.50x = 1,931.22 × 1,045.26
  4. Step 4: Simplify right side
    1,399.50x = 2,018,627.02
  5. Step 5: Solve for x
    x = 2,018,627.02/1,399.50
  6. Step 6: Final answer
    x = 1,442.39

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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.