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Finding the Fourth Proportional to 598.85, 900.30 and 478.43

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Solution

The fourth proportional to 598.85, 900.30 and 478.43 is: 719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.85 : 900.30 = 478.43 : x
  2. Step 2: Convert to fraction form
    598.85/900.30 = 478.43/x
  3. Step 3: Cross multiply
    598.85x = 900.30 × 478.43
  4. Step 4: Simplify right side
    598.85x = 430,730.53
  5. Step 5: Solve for x
    x = 430,730.53/598.85
  6. Step 6: Final answer
    x = 719.26

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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.