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Finding the Fourth Proportional to 1,312.93, 1,968.93 and 388.24

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Solution

The fourth proportional to 1,312.93, 1,968.93 and 388.24 is: 582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.93 : 1,968.93 = 388.24 : x
  2. Step 2: Convert to fraction form
    1,312.93/1,968.93 = 388.24/x
  3. Step 3: Cross multiply
    1,312.93x = 1,968.93 × 388.24
  4. Step 4: Simplify right side
    1,312.93x = 764,417.38
  5. Step 5: Solve for x
    x = 764,417.38/1,312.93
  6. Step 6: Final answer
    x = 582.22

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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.