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Finding the Fourth Proportional to 653, 894.62 and 628.40

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Solution

The fourth proportional to 653, 894.62 and 628.40 is: 860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    653 : 894.62 = 628.40 : x
  2. Step 2: Convert to fraction form
    653/894.62 = 628.40/x
  3. Step 3: Cross multiply
    653x = 894.62 × 628.40
  4. Step 4: Simplify right side
    653x = 562,179.21
  5. Step 5: Solve for x
    x = 562,179.21/653
  6. Step 6: Final answer
    x = 860.92

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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.