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Finding the Fourth Proportional to 975.51, 1,459.60 and 922.76

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Solution

The fourth proportional to 975.51, 1,459.60 and 922.76 is: 1,380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.51 : 1,459.60 = 922.76 : x
  2. Step 2: Convert to fraction form
    975.51/1,459.60 = 922.76/x
  3. Step 3: Cross multiply
    975.51x = 1,459.60 × 922.76
  4. Step 4: Simplify right side
    975.51x = 1,346,860.50
  5. Step 5: Solve for x
    x = 1,346,860.50/975.51
  6. Step 6: Final answer
    x = 1,380.67

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1.5x scale

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.