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Finding the Fourth Proportional to 940.36, 1,411.38 and 652

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Solution

The fourth proportional to 940.36, 1,411.38 and 652 is: 978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.36 : 1,411.38 = 652 : x
  2. Step 2: Convert to fraction form
    940.36/1,411.38 = 652/x
  3. Step 3: Cross multiply
    940.36x = 1,411.38 × 652
  4. Step 4: Simplify right side
    940.36x = 920,219.76
  5. Step 5: Solve for x
    x = 920,219.76/940.36
  6. Step 6: Final answer
    x = 978.58

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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.