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Finding the Fourth Proportional to 595.07, 820.74 and 454.84

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Solution

The fourth proportional to 595.07, 820.74 and 454.84 is: 627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.07 : 820.74 = 454.84 : x
  2. Step 2: Convert to fraction form
    595.07/820.74 = 454.84/x
  3. Step 3: Cross multiply
    595.07x = 820.74 × 454.84
  4. Step 4: Simplify right side
    595.07x = 373,299.00
  5. Step 5: Solve for x
    x = 373,299.00/595.07
  6. Step 6: Final answer
    x = 627.32

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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.