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Finding the Fourth Proportional to 473.99, 653.41 and 407.30

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Solution

The fourth proportional to 473.99, 653.41 and 407.30 is: 561.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.99 : 653.41 = 407.30 : x
  2. Step 2: Convert to fraction form
    473.99/653.41 = 407.30/x
  3. Step 3: Cross multiply
    473.99x = 653.41 × 407.30
  4. Step 4: Simplify right side
    473.99x = 266,133.89
  5. Step 5: Solve for x
    x = 266,133.89/473.99
  6. Step 6: Final answer
    x = 561.48

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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.