Home / 1,398.16-2,096.58-424.06

Finding the Fourth Proportional to 1,398.16, 2,096.58 and 424.06

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Solution

The fourth proportional to 1,398.16, 2,096.58 and 424.06 is: 635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.16 : 2,096.58 = 424.06 : x
  2. Step 2: Convert to fraction form
    1,398.16/2,096.58 = 424.06/x
  3. Step 3: Cross multiply
    1,398.16x = 2,096.58 × 424.06
  4. Step 4: Simplify right side
    1,398.16x = 889,075.71
  5. Step 5: Solve for x
    x = 889,075.71/1,398.16
  6. Step 6: Final answer
    x = 635.89

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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.