Home / 1,407.37-2,111.30-585.70

Finding the Fourth Proportional to 1,407.37, 2,111.30 and 585.70

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Solution

The fourth proportional to 1,407.37, 2,111.30 and 585.70 is: 878.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.37 : 2,111.30 = 585.70 : x
  2. Step 2: Convert to fraction form
    1,407.37/2,111.30 = 585.70/x
  3. Step 3: Cross multiply
    1,407.37x = 2,111.30 × 585.70
  4. Step 4: Simplify right side
    1,407.37x = 1,236,588.41
  5. Step 5: Solve for x
    x = 1,236,588.41/1,407.37
  6. Step 6: Final answer
    x = 878.65

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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.