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Finding the Fourth Proportional to 504.40, 757.38 and 312.16

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Solution

The fourth proportional to 504.40, 757.38 and 312.16 is: 468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.40 : 757.38 = 312.16 : x
  2. Step 2: Convert to fraction form
    504.40/757.38 = 312.16/x
  3. Step 3: Cross multiply
    504.40x = 757.38 × 312.16
  4. Step 4: Simplify right side
    504.40x = 236,423.74
  5. Step 5: Solve for x
    x = 236,423.74/504.40
  6. Step 6: Final answer
    x = 468.72

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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.