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Finding the Fourth Proportional to 598.02, 900.54 and 445.02

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Solution

The fourth proportional to 598.02, 900.54 and 445.02 is: 670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.02 : 900.54 = 445.02 : x
  2. Step 2: Convert to fraction form
    598.02/900.54 = 445.02/x
  3. Step 3: Cross multiply
    598.02x = 900.54 × 445.02
  4. Step 4: Simplify right side
    598.02x = 400,758.31
  5. Step 5: Solve for x
    x = 400,758.31/598.02
  6. Step 6: Final answer
    x = 670.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.