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Finding the Fourth Proportional to 653.70, 978.12 and 646.41

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Solution

The fourth proportional to 653.70, 978.12 and 646.41 is: 967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.70 : 978.12 = 646.41 : x
  2. Step 2: Convert to fraction form
    653.70/978.12 = 646.41/x
  3. Step 3: Cross multiply
    653.70x = 978.12 × 646.41
  4. Step 4: Simplify right side
    653.70x = 632,266.55
  5. Step 5: Solve for x
    x = 632,266.55/653.70
  6. Step 6: Final answer
    x = 967.21

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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.