Home / 1,598.10-2,391.26-971.16

Finding the Fourth Proportional to 1,598.10, 2,391.26 and 971.16

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Solution

The fourth proportional to 1,598.10, 2,391.26 and 971.16 is: 1,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.10 : 2,391.26 = 971.16 : x
  2. Step 2: Convert to fraction form
    1,598.10/2,391.26 = 971.16/x
  3. Step 3: Cross multiply
    1,598.10x = 2,391.26 × 971.16
  4. Step 4: Simplify right side
    1,598.10x = 2,322,291.21
  5. Step 5: Solve for x
    x = 2,322,291.21/1,598.10
  6. Step 6: Final answer
    x = 1,453.16

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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.