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Finding the Fourth Proportional to 471.02, 653.06 and 455.83

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Solution

The fourth proportional to 471.02, 653.06 and 455.83 is: 632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.02 : 653.06 = 455.83 : x
  2. Step 2: Convert to fraction form
    471.02/653.06 = 455.83/x
  3. Step 3: Cross multiply
    471.02x = 653.06 × 455.83
  4. Step 4: Simplify right side
    471.02x = 297,683.85
  5. Step 5: Solve for x
    x = 297,683.85/471.02
  6. Step 6: Final answer
    x = 632.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.