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Finding the Fourth Proportional to 453, 677.64 and 384.72

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Solution

The fourth proportional to 453, 677.64 and 384.72 is: 575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    453 : 677.64 = 384.72 : x
  2. Step 2: Convert to fraction form
    453/677.64 = 384.72/x
  3. Step 3: Cross multiply
    453x = 677.64 × 384.72
  4. Step 4: Simplify right side
    453x = 260,701.66
  5. Step 5: Solve for x
    x = 260,701.66/453
  6. Step 6: Final answer
    x = 575.50

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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.