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Finding the Fourth Proportional to 783.63, 1,174.74 and 297.02

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Solution

The fourth proportional to 783.63, 1,174.74 and 297.02 is: 445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.63 : 1,174.74 = 297.02 : x
  2. Step 2: Convert to fraction form
    783.63/1,174.74 = 297.02/x
  3. Step 3: Cross multiply
    783.63x = 1,174.74 × 297.02
  4. Step 4: Simplify right side
    783.63x = 348,924.21
  5. Step 5: Solve for x
    x = 348,924.21/783.63
  6. Step 6: Final answer
    x = 445.27

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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.