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Finding the Fourth Proportional to 1,132.83, 1,699.38 and 846.09

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Solution

The fourth proportional to 1,132.83, 1,699.38 and 846.09 is: 1,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.83 : 1,699.38 = 846.09 : x
  2. Step 2: Convert to fraction form
    1,132.83/1,699.38 = 846.09/x
  3. Step 3: Cross multiply
    1,132.83x = 1,699.38 × 846.09
  4. Step 4: Simplify right side
    1,132.83x = 1,437,828.42
  5. Step 5: Solve for x
    x = 1,437,828.42/1,132.83
  6. Step 6: Final answer
    x = 1,269.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.