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Finding the Fourth Proportional to 600.30, 900.45 and 340.38

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Solution

The fourth proportional to 600.30, 900.45 and 340.38 is: 510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.30 : 900.45 = 340.38 : x
  2. Step 2: Convert to fraction form
    600.30/900.45 = 340.38/x
  3. Step 3: Cross multiply
    600.30x = 900.45 × 340.38
  4. Step 4: Simplify right side
    600.30x = 306,495.17
  5. Step 5: Solve for x
    x = 306,495.17/600.30
  6. Step 6: Final answer
    x = 510.57

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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.