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Finding the Fourth Proportional to 1,433.03, 1,977.47 and 803.47

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Solution

The fourth proportional to 1,433.03, 1,977.47 and 803.47 is: 1,108.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.03 : 1,977.47 = 803.47 : x
  2. Step 2: Convert to fraction form
    1,433.03/1,977.47 = 803.47/x
  3. Step 3: Cross multiply
    1,433.03x = 1,977.47 × 803.47
  4. Step 4: Simplify right side
    1,433.03x = 1,588,827.93
  5. Step 5: Solve for x
    x = 1,588,827.93/1,433.03
  6. Step 6: Final answer
    x = 1,108.72

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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.