Home / 1,583.10-2,374.65-428.85

Finding the Fourth Proportional to 1,583.10, 2,374.65 and 428.85

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Solution

The fourth proportional to 1,583.10, 2,374.65 and 428.85 is: 643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.10 : 2,374.65 = 428.85 : x
  2. Step 2: Convert to fraction form
    1,583.10/2,374.65 = 428.85/x
  3. Step 3: Cross multiply
    1,583.10x = 2,374.65 × 428.85
  4. Step 4: Simplify right side
    1,583.10x = 1,018,368.65
  5. Step 5: Solve for x
    x = 1,018,368.65/1,583.10
  6. Step 6: Final answer
    x = 643.28

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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.