Home / 1,316.61-1,975.38-586.12

Finding the Fourth Proportional to 1,316.61, 1,975.38 and 586.12

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Solution

The fourth proportional to 1,316.61, 1,975.38 and 586.12 is: 879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.61 : 1,975.38 = 586.12 : x
  2. Step 2: Convert to fraction form
    1,316.61/1,975.38 = 586.12/x
  3. Step 3: Cross multiply
    1,316.61x = 1,975.38 × 586.12
  4. Step 4: Simplify right side
    1,316.61x = 1,157,809.73
  5. Step 5: Solve for x
    x = 1,157,809.73/1,316.61
  6. Step 6: Final answer
    x = 879.39

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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.