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Finding the Fourth Proportional to 784.09, 1,176.36 and 393.62

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Solution

The fourth proportional to 784.09, 1,176.36 and 393.62 is: 590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.09 : 1,176.36 = 393.62 : x
  2. Step 2: Convert to fraction form
    784.09/1,176.36 = 393.62/x
  3. Step 3: Cross multiply
    784.09x = 1,176.36 × 393.62
  4. Step 4: Simplify right side
    784.09x = 463,038.82
  5. Step 5: Solve for x
    x = 463,038.82/784.09
  6. Step 6: Final answer
    x = 590.54

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1.5x scale

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.