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Finding the Fourth Proportional to 955.40, 1,316.76 and 734

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Solution

The fourth proportional to 955.40, 1,316.76 and 734 is: 1,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.40 : 1,316.76 = 734 : x
  2. Step 2: Convert to fraction form
    955.40/1,316.76 = 734/x
  3. Step 3: Cross multiply
    955.40x = 1,316.76 × 734
  4. Step 4: Simplify right side
    955.40x = 966,501.84
  5. Step 5: Solve for x
    x = 966,501.84/955.40
  6. Step 6: Final answer
    x = 1,011.62

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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.