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Finding the Fourth Proportional to 1,110.95, 1,666.70 and 417.69

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Solution

The fourth proportional to 1,110.95, 1,666.70 and 417.69 is: 626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.95 : 1,666.70 = 417.69 : x
  2. Step 2: Convert to fraction form
    1,110.95/1,666.70 = 417.69/x
  3. Step 3: Cross multiply
    1,110.95x = 1,666.70 × 417.69
  4. Step 4: Simplify right side
    1,110.95x = 696,161.83
  5. Step 5: Solve for x
    x = 696,161.83/1,110.95
  6. Step 6: Final answer
    x = 626.64

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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.