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Finding the Fourth Proportional to 504.41, 751.32 and 478.40

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Solution

The fourth proportional to 504.41, 751.32 and 478.40 is: 712.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.41 : 751.32 = 478.40 : x
  2. Step 2: Convert to fraction form
    504.41/751.32 = 478.40/x
  3. Step 3: Cross multiply
    504.41x = 751.32 × 478.40
  4. Step 4: Simplify right side
    504.41x = 359,427.73
  5. Step 5: Solve for x
    x = 359,427.73/504.41
  6. Step 6: Final answer
    x = 712.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.