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Finding the Fourth Proportional to 1,070.10, 1,604.94 and 888.66

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Solution

The fourth proportional to 1,070.10, 1,604.94 and 888.66 is: 1,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.10 : 1,604.94 = 888.66 : x
  2. Step 2: Convert to fraction form
    1,070.10/1,604.94 = 888.66/x
  3. Step 3: Cross multiply
    1,070.10x = 1,604.94 × 888.66
  4. Step 4: Simplify right side
    1,070.10x = 1,426,245.98
  5. Step 5: Solve for x
    x = 1,426,245.98/1,070.10
  6. Step 6: Final answer
    x = 1,332.82

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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.