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Finding the Fourth Proportional to 602.94, 830.58 and 478.56

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Solution

The fourth proportional to 602.94, 830.58 and 478.56 is: 659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.94 : 830.58 = 478.56 : x
  2. Step 2: Convert to fraction form
    602.94/830.58 = 478.56/x
  3. Step 3: Cross multiply
    602.94x = 830.58 × 478.56
  4. Step 4: Simplify right side
    602.94x = 397,482.36
  5. Step 5: Solve for x
    x = 397,482.36/602.94
  6. Step 6: Final answer
    x = 659.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.