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Finding the Fourth Proportional to 469.95, 653.00 and 464.13

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Solution

The fourth proportional to 469.95, 653.00 and 464.13 is: 644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.95 : 653.00 = 464.13 : x
  2. Step 2: Convert to fraction form
    469.95/653.00 = 464.13/x
  3. Step 3: Cross multiply
    469.95x = 653.00 × 464.13
  4. Step 4: Simplify right side
    469.95x = 303,078.05
  5. Step 5: Solve for x
    x = 303,078.05/469.95
  6. Step 6: Final answer
    x = 644.92

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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.