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Finding the Fourth Proportional to 1,379.70, 2,070.40 and 557.98

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Solution

The fourth proportional to 1,379.70, 2,070.40 and 557.98 is: 837.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.70 : 2,070.40 = 557.98 : x
  2. Step 2: Convert to fraction form
    1,379.70/2,070.40 = 557.98/x
  3. Step 3: Cross multiply
    1,379.70x = 2,070.40 × 557.98
  4. Step 4: Simplify right side
    1,379.70x = 1,155,241.79
  5. Step 5: Solve for x
    x = 1,155,241.79/1,379.70
  6. Step 6: Final answer
    x = 837.31

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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.