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Finding the Fourth Proportional to 1,085.64, 1,628.43 and 469.50

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Solution

The fourth proportional to 1,085.64, 1,628.43 and 469.50 is: 704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.64 : 1,628.43 = 469.50 : x
  2. Step 2: Convert to fraction form
    1,085.64/1,628.43 = 469.50/x
  3. Step 3: Cross multiply
    1,085.64x = 1,628.43 × 469.50
  4. Step 4: Simplify right side
    1,085.64x = 764,547.89
  5. Step 5: Solve for x
    x = 764,547.89/1,085.64
  6. Step 6: Final answer
    x = 704.24

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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.