Home / 1,316.96-1,976.24-586.64

Finding the Fourth Proportional to 1,316.96, 1,976.24 and 586.64

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Solution

The fourth proportional to 1,316.96, 1,976.24 and 586.64 is: 880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.96 : 1,976.24 = 586.64 : x
  2. Step 2: Convert to fraction form
    1,316.96/1,976.24 = 586.64/x
  3. Step 3: Cross multiply
    1,316.96x = 1,976.24 × 586.64
  4. Step 4: Simplify right side
    1,316.96x = 1,159,341.43
  5. Step 5: Solve for x
    x = 1,159,341.43/1,316.96
  6. Step 6: Final answer
    x = 880.32

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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.