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Finding the Fourth Proportional to 604.64, 907.28 and 399.30

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Solution

The fourth proportional to 604.64, 907.28 and 399.30 is: 599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.64 : 907.28 = 399.30 : x
  2. Step 2: Convert to fraction form
    604.64/907.28 = 399.30/x
  3. Step 3: Cross multiply
    604.64x = 907.28 × 399.30
  4. Step 4: Simplify right side
    604.64x = 362,276.90
  5. Step 5: Solve for x
    x = 362,276.90/604.64
  6. Step 6: Final answer
    x = 599.16

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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.