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Finding the Fourth Proportional to 1,038.23, 1,431.07 and 813.77

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Solution

The fourth proportional to 1,038.23, 1,431.07 and 813.77 is: 1,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.23 : 1,431.07 = 813.77 : x
  2. Step 2: Convert to fraction form
    1,038.23/1,431.07 = 813.77/x
  3. Step 3: Cross multiply
    1,038.23x = 1,431.07 × 813.77
  4. Step 4: Simplify right side
    1,038.23x = 1,164,561.83
  5. Step 5: Solve for x
    x = 1,164,561.83/1,038.23
  6. Step 6: Final answer
    x = 1,121.68

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1.5x scale

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.