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Finding the Fourth Proportional to 771.11, 1,064.51 and 476.54

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Solution

The fourth proportional to 771.11, 1,064.51 and 476.54 is: 657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.11 : 1,064.51 = 476.54 : x
  2. Step 2: Convert to fraction form
    771.11/1,064.51 = 476.54/x
  3. Step 3: Cross multiply
    771.11x = 1,064.51 × 476.54
  4. Step 4: Simplify right side
    771.11x = 507,281.60
  5. Step 5: Solve for x
    x = 507,281.60/771.11
  6. Step 6: Final answer
    x = 657.86

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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.