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Finding the Fourth Proportional to 504.32, 756.48 and 287.60

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Solution

The fourth proportional to 504.32, 756.48 and 287.60 is: 431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.32 : 756.48 = 287.60 : x
  2. Step 2: Convert to fraction form
    504.32/756.48 = 287.60/x
  3. Step 3: Cross multiply
    504.32x = 756.48 × 287.60
  4. Step 4: Simplify right side
    504.32x = 217,563.65
  5. Step 5: Solve for x
    x = 217,563.65/504.32
  6. Step 6: Final answer
    x = 431.40

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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.