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Finding the Fourth Proportional to 478.63, 714.43 and 474.58

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Solution

The fourth proportional to 478.63, 714.43 and 474.58 is: 708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.63 : 714.43 = 474.58 : x
  2. Step 2: Convert to fraction form
    478.63/714.43 = 474.58/x
  3. Step 3: Cross multiply
    478.63x = 714.43 × 474.58
  4. Step 4: Simplify right side
    478.63x = 339,054.19
  5. Step 5: Solve for x
    x = 339,054.19/478.63
  6. Step 6: Final answer
    x = 708.38

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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.