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Finding the Fourth Proportional to 467.76, 645.64 and 312.50

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Solution

The fourth proportional to 467.76, 645.64 and 312.50 is: 431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.76 : 645.64 = 312.50 : x
  2. Step 2: Convert to fraction form
    467.76/645.64 = 312.50/x
  3. Step 3: Cross multiply
    467.76x = 645.64 × 312.50
  4. Step 4: Simplify right side
    467.76x = 201,762.50
  5. Step 5: Solve for x
    x = 201,762.50/467.76
  6. Step 6: Final answer
    x = 431.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.