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Finding the Fourth Proportional to 599.04, 900.72 and 455.40

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Solution

The fourth proportional to 599.04, 900.72 and 455.40 is: 684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.04 : 900.72 = 455.40 : x
  2. Step 2: Convert to fraction form
    599.04/900.72 = 455.40/x
  3. Step 3: Cross multiply
    599.04x = 900.72 × 455.40
  4. Step 4: Simplify right side
    599.04x = 410,187.89
  5. Step 5: Solve for x
    x = 410,187.89/599.04
  6. Step 6: Final answer
    x = 684.74

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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.