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Finding the Fourth Proportional to 975.98, 1,346.94 and 603.20

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Solution

The fourth proportional to 975.98, 1,346.94 and 603.20 is: 832.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.98 : 1,346.94 = 603.20 : x
  2. Step 2: Convert to fraction form
    975.98/1,346.94 = 603.20/x
  3. Step 3: Cross multiply
    975.98x = 1,346.94 × 603.20
  4. Step 4: Simplify right side
    975.98x = 812,474.21
  5. Step 5: Solve for x
    x = 812,474.21/975.98
  6. Step 6: Final answer
    x = 832.47

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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.