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Finding the Fourth Proportional to 945.09, 1,418.10 and 616.67

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Solution

The fourth proportional to 945.09, 1,418.10 and 616.67 is: 925.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.09 : 1,418.10 = 616.67 : x
  2. Step 2: Convert to fraction form
    945.09/1,418.10 = 616.67/x
  3. Step 3: Cross multiply
    945.09x = 1,418.10 × 616.67
  4. Step 4: Simplify right side
    945.09x = 874,492.64
  5. Step 5: Solve for x
    x = 874,492.64/945.09
  6. Step 6: Final answer
    x = 925.31

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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.