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Finding the Fourth Proportional to 978.37, 1,466.93 and 653.36

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Solution

The fourth proportional to 978.37, 1,466.93 and 653.36 is: 979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.37 : 1,466.93 = 653.36 : x
  2. Step 2: Convert to fraction form
    978.37/1,466.93 = 653.36/x
  3. Step 3: Cross multiply
    978.37x = 1,466.93 × 653.36
  4. Step 4: Simplify right side
    978.37x = 958,427.68
  5. Step 5: Solve for x
    x = 958,427.68/978.37
  6. Step 6: Final answer
    x = 979.62

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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.