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Finding the Fourth Proportional to 1,207.45, 1,810.90 and 557.56

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Solution

The fourth proportional to 1,207.45, 1,810.90 and 557.56 is: 836.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.45 : 1,810.90 = 557.56 : x
  2. Step 2: Convert to fraction form
    1,207.45/1,810.90 = 557.56/x
  3. Step 3: Cross multiply
    1,207.45x = 1,810.90 × 557.56
  4. Step 4: Simplify right side
    1,207.45x = 1,009,685.40
  5. Step 5: Solve for x
    x = 1,009,685.40/1,207.45
  6. Step 6: Final answer
    x = 836.21

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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.