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Finding the Fourth Proportional to 1,003.50, 1,512.90 and 933.06

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Solution

The fourth proportional to 1,003.50, 1,512.90 and 933.06 is: 1,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.50 : 1,512.90 = 933.06 : x
  2. Step 2: Convert to fraction form
    1,003.50/1,512.90 = 933.06/x
  3. Step 3: Cross multiply
    1,003.50x = 1,512.90 × 933.06
  4. Step 4: Simplify right side
    1,003.50x = 1,411,626.47
  5. Step 5: Solve for x
    x = 1,411,626.47/1,003.50
  6. Step 6: Final answer
    x = 1,406.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.