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Finding the Fourth Proportional to 482.98, 670.07 and 465.70

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Solution

The fourth proportional to 482.98, 670.07 and 465.70 is: 646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.98 : 670.07 = 465.70 : x
  2. Step 2: Convert to fraction form
    482.98/670.07 = 465.70/x
  3. Step 3: Cross multiply
    482.98x = 670.07 × 465.70
  4. Step 4: Simplify right side
    482.98x = 312,051.60
  5. Step 5: Solve for x
    x = 312,051.60/482.98
  6. Step 6: Final answer
    x = 646.10

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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.