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Finding the Fourth Proportional to 975.70, 1,462.36 and 697.64

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Solution

The fourth proportional to 975.70, 1,462.36 and 697.64 is: 1,045.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.70 : 1,462.36 = 697.64 : x
  2. Step 2: Convert to fraction form
    975.70/1,462.36 = 697.64/x
  3. Step 3: Cross multiply
    975.70x = 1,462.36 × 697.64
  4. Step 4: Simplify right side
    975.70x = 1,020,200.83
  5. Step 5: Solve for x
    x = 1,020,200.83/975.70
  6. Step 6: Final answer
    x = 1,045.61

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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.