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Finding the Fourth Proportional to 1,222.04, 1,686.42 and 670.04

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Solution

The fourth proportional to 1,222.04, 1,686.42 and 670.04 is: 924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.04 : 1,686.42 = 670.04 : x
  2. Step 2: Convert to fraction form
    1,222.04/1,686.42 = 670.04/x
  3. Step 3: Cross multiply
    1,222.04x = 1,686.42 × 670.04
  4. Step 4: Simplify right side
    1,222.04x = 1,129,968.86
  5. Step 5: Solve for x
    x = 1,129,968.86/1,222.04
  6. Step 6: Final answer
    x = 924.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.