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Finding the Fourth Proportional to 482.55, 723.82 and 278.45

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Solution

The fourth proportional to 482.55, 723.82 and 278.45 is: 417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.55 : 723.82 = 278.45 : x
  2. Step 2: Convert to fraction form
    482.55/723.82 = 278.45/x
  3. Step 3: Cross multiply
    482.55x = 723.82 × 278.45
  4. Step 4: Simplify right side
    482.55x = 201,547.68
  5. Step 5: Solve for x
    x = 201,547.68/482.55
  6. Step 6: Final answer
    x = 417.67

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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.