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Finding the Fourth Proportional to 457.04, 684.35 and 376.25

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Solution

The fourth proportional to 457.04, 684.35 and 376.25 is: 563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.04 : 684.35 = 376.25 : x
  2. Step 2: Convert to fraction form
    457.04/684.35 = 376.25/x
  3. Step 3: Cross multiply
    457.04x = 684.35 × 376.25
  4. Step 4: Simplify right side
    457.04x = 257,482.80
  5. Step 5: Solve for x
    x = 257,482.80/457.04
  6. Step 6: Final answer
    x = 563.37

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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.