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Finding the Fourth Proportional to 473.45, 653.19 and 307.81

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Solution

The fourth proportional to 473.45, 653.19 and 307.81 is: 424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.45 : 653.19 = 307.81 : x
  2. Step 2: Convert to fraction form
    473.45/653.19 = 307.81/x
  3. Step 3: Cross multiply
    473.45x = 653.19 × 307.81
  4. Step 4: Simplify right side
    473.45x = 201,055.63
  5. Step 5: Solve for x
    x = 201,055.63/473.45
  6. Step 6: Final answer
    x = 424.66

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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.