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Finding the Fourth Proportional to 1,193.35, 1,779.59 and 1,070.50

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Solution

The fourth proportional to 1,193.35, 1,779.59 and 1,070.50 is: 1,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.35 : 1,779.59 = 1,070.50 : x
  2. Step 2: Convert to fraction form
    1,193.35/1,779.59 = 1,070.50/x
  3. Step 3: Cross multiply
    1,193.35x = 1,779.59 × 1,070.50
  4. Step 4: Simplify right side
    1,193.35x = 1,905,051.10
  5. Step 5: Solve for x
    x = 1,905,051.10/1,193.35
  6. Step 6: Final answer
    x = 1,596.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.