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Finding the Fourth Proportional to 575.64, 794.53 and 354.77

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Solution

The fourth proportional to 575.64, 794.53 and 354.77 is: 489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.64 : 794.53 = 354.77 : x
  2. Step 2: Convert to fraction form
    575.64/794.53 = 354.77/x
  3. Step 3: Cross multiply
    575.64x = 794.53 × 354.77
  4. Step 4: Simplify right side
    575.64x = 281,873.53
  5. Step 5: Solve for x
    x = 281,873.53/575.64
  6. Step 6: Final answer
    x = 489.67

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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.