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Finding the Fourth Proportional to 653.45, 896.39 and 618.14

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Solution

The fourth proportional to 653.45, 896.39 and 618.14 is: 847.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.45 : 896.39 = 618.14 : x
  2. Step 2: Convert to fraction form
    653.45/896.39 = 618.14/x
  3. Step 3: Cross multiply
    653.45x = 896.39 × 618.14
  4. Step 4: Simplify right side
    653.45x = 554,094.51
  5. Step 5: Solve for x
    x = 554,094.51/653.45
  6. Step 6: Final answer
    x = 847.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.