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Finding the Fourth Proportional to 1,196.83, 1,650.20 and 1,030.76

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Solution

The fourth proportional to 1,196.83, 1,650.20 and 1,030.76 is: 1,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.83 : 1,650.20 = 1,030.76 : x
  2. Step 2: Convert to fraction form
    1,196.83/1,650.20 = 1,030.76/x
  3. Step 3: Cross multiply
    1,196.83x = 1,650.20 × 1,030.76
  4. Step 4: Simplify right side
    1,196.83x = 1,700,946.75
  5. Step 5: Solve for x
    x = 1,700,946.75/1,196.83
  6. Step 6: Final answer
    x = 1,421.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.