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Finding the Fourth Proportional to 1,110.98, 1,666.32 and 370.58

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Solution

The fourth proportional to 1,110.98, 1,666.32 and 370.58 is: 555.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.98 : 1,666.32 = 370.58 : x
  2. Step 2: Convert to fraction form
    1,110.98/1,666.32 = 370.58/x
  3. Step 3: Cross multiply
    1,110.98x = 1,666.32 × 370.58
  4. Step 4: Simplify right side
    1,110.98x = 617,504.87
  5. Step 5: Solve for x
    x = 617,504.87/1,110.98
  6. Step 6: Final answer
    x = 555.82

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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.