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Finding the Fourth Proportional to 1,112.84, 1,670.22 and 429.32

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Solution

The fourth proportional to 1,112.84, 1,670.22 and 429.32 is: 644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.84 : 1,670.22 = 429.32 : x
  2. Step 2: Convert to fraction form
    1,112.84/1,670.22 = 429.32/x
  3. Step 3: Cross multiply
    1,112.84x = 1,670.22 × 429.32
  4. Step 4: Simplify right side
    1,112.84x = 717,058.85
  5. Step 5: Solve for x
    x = 717,058.85/1,112.84
  6. Step 6: Final answer
    x = 644.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.