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Finding the Fourth Proportional to 945.51, 1,416.69 and 670.35

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Solution

The fourth proportional to 945.51, 1,416.69 and 670.35 is: 1,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.51 : 1,416.69 = 670.35 : x
  2. Step 2: Convert to fraction form
    945.51/1,416.69 = 670.35/x
  3. Step 3: Cross multiply
    945.51x = 1,416.69 × 670.35
  4. Step 4: Simplify right side
    945.51x = 949,678.14
  5. Step 5: Solve for x
    x = 949,678.14/945.51
  6. Step 6: Final answer
    x = 1,004.41

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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.