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Finding the Fourth Proportional to 1,528.03, 2,108.70 and 829.41

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Solution

The fourth proportional to 1,528.03, 2,108.70 and 829.41 is: 1,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.03 : 2,108.70 = 829.41 : x
  2. Step 2: Convert to fraction form
    1,528.03/2,108.70 = 829.41/x
  3. Step 3: Cross multiply
    1,528.03x = 2,108.70 × 829.41
  4. Step 4: Simplify right side
    1,528.03x = 1,748,968.96
  5. Step 5: Solve for x
    x = 1,748,968.96/1,528.03
  6. Step 6: Final answer
    x = 1,144.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.