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Finding the Fourth Proportional to 578.02, 797.14 and 452

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Solution

The fourth proportional to 578.02, 797.14 and 452 is: 623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.02 : 797.14 = 452 : x
  2. Step 2: Convert to fraction form
    578.02/797.14 = 452/x
  3. Step 3: Cross multiply
    578.02x = 797.14 × 452
  4. Step 4: Simplify right side
    578.02x = 360,307.28
  5. Step 5: Solve for x
    x = 360,307.28/578.02
  6. Step 6: Final answer
    x = 623.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.