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Finding the Fourth Proportional to 479.63, 719.66 and 285.02

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Solution

The fourth proportional to 479.63, 719.66 and 285.02 is: 427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.63 : 719.66 = 285.02 : x
  2. Step 2: Convert to fraction form
    479.63/719.66 = 285.02/x
  3. Step 3: Cross multiply
    479.63x = 719.66 × 285.02
  4. Step 4: Simplify right side
    479.63x = 205,113.89
  5. Step 5: Solve for x
    x = 205,113.89/479.63
  6. Step 6: Final answer
    x = 427.65

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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.