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Finding the Fourth Proportional to 931.63, 1,285.70 and 511.98

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Solution

The fourth proportional to 931.63, 1,285.70 and 511.98 is: 706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.63 : 1,285.70 = 511.98 : x
  2. Step 2: Convert to fraction form
    931.63/1,285.70 = 511.98/x
  3. Step 3: Cross multiply
    931.63x = 1,285.70 × 511.98
  4. Step 4: Simplify right side
    931.63x = 658,252.69
  5. Step 5: Solve for x
    x = 658,252.69/931.63
  6. Step 6: Final answer
    x = 706.56

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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.