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Finding the Fourth Proportional to 922.95, 1,271.70 and 713.16

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Solution

The fourth proportional to 922.95, 1,271.70 and 713.16 is: 982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.95 : 1,271.70 = 713.16 : x
  2. Step 2: Convert to fraction form
    922.95/1,271.70 = 713.16/x
  3. Step 3: Cross multiply
    922.95x = 1,271.70 × 713.16
  4. Step 4: Simplify right side
    922.95x = 906,925.57
  5. Step 5: Solve for x
    x = 906,925.57/922.95
  6. Step 6: Final answer
    x = 982.64

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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.