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Finding the Fourth Proportional to 1,186.81, 1,779.76 and 570.81

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Solution

The fourth proportional to 1,186.81, 1,779.76 and 570.81 is: 856.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.81 : 1,779.76 = 570.81 : x
  2. Step 2: Convert to fraction form
    1,186.81/1,779.76 = 570.81/x
  3. Step 3: Cross multiply
    1,186.81x = 1,779.76 × 570.81
  4. Step 4: Simplify right side
    1,186.81x = 1,015,904.81
  5. Step 5: Solve for x
    x = 1,015,904.81/1,186.81
  6. Step 6: Final answer
    x = 856.00

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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.