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Finding the Fourth Proportional to 940.35, 1,410.72 and 647.99

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Solution

The fourth proportional to 940.35, 1,410.72 and 647.99 is: 972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.35 : 1,410.72 = 647.99 : x
  2. Step 2: Convert to fraction form
    940.35/1,410.72 = 647.99/x
  3. Step 3: Cross multiply
    940.35x = 1,410.72 × 647.99
  4. Step 4: Simplify right side
    940.35x = 914,139.84
  5. Step 5: Solve for x
    x = 914,139.84/940.35
  6. Step 6: Final answer
    x = 972.12

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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.