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Finding the Fourth Proportional to 497.16, 746.90 and 312.64

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Solution

The fourth proportional to 497.16, 746.90 and 312.64 is: 469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.16 : 746.90 = 312.64 : x
  2. Step 2: Convert to fraction form
    497.16/746.90 = 312.64/x
  3. Step 3: Cross multiply
    497.16x = 746.90 × 312.64
  4. Step 4: Simplify right side
    497.16x = 233,510.82
  5. Step 5: Solve for x
    x = 233,510.82/497.16
  6. Step 6: Final answer
    x = 469.69

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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.