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Finding the Fourth Proportional to 777.27, 1,164.06 and 632.67

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Solution

The fourth proportional to 777.27, 1,164.06 and 632.67 is: 947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.27 : 1,164.06 = 632.67 : x
  2. Step 2: Convert to fraction form
    777.27/1,164.06 = 632.67/x
  3. Step 3: Cross multiply
    777.27x = 1,164.06 × 632.67
  4. Step 4: Simplify right side
    777.27x = 736,465.84
  5. Step 5: Solve for x
    x = 736,465.84/777.27
  6. Step 6: Final answer
    x = 947.50

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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.