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Finding the Fourth Proportional to 504.56, 756.72 and 312.08

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Solution

The fourth proportional to 504.56, 756.72 and 312.08 is: 468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.56 : 756.72 = 312.08 : x
  2. Step 2: Convert to fraction form
    504.56/756.72 = 312.08/x
  3. Step 3: Cross multiply
    504.56x = 756.72 × 312.08
  4. Step 4: Simplify right side
    504.56x = 236,157.18
  5. Step 5: Solve for x
    x = 236,157.18/504.56
  6. Step 6: Final answer
    x = 468.05

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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.