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Finding the Fourth Proportional to 495.12, 743.72 and 312.63

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Solution

The fourth proportional to 495.12, 743.72 and 312.63 is: 469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.12 : 743.72 = 312.63 : x
  2. Step 2: Convert to fraction form
    495.12/743.72 = 312.63/x
  3. Step 3: Cross multiply
    495.12x = 743.72 × 312.63
  4. Step 4: Simplify right side
    495.12x = 232,509.18
  5. Step 5: Solve for x
    x = 232,509.18/495.12
  6. Step 6: Final answer
    x = 469.60

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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.