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Finding the Fourth Proportional to 945.10, 1,416.86 and 417.63

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Solution

The fourth proportional to 945.10, 1,416.86 and 417.63 is: 626.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.10 : 1,416.86 = 417.63 : x
  2. Step 2: Convert to fraction form
    945.10/1,416.86 = 417.63/x
  3. Step 3: Cross multiply
    945.10x = 1,416.86 × 417.63
  4. Step 4: Simplify right side
    945.10x = 591,718.97
  5. Step 5: Solve for x
    x = 591,718.97/945.10
  6. Step 6: Final answer
    x = 626.09

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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.