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Finding the Fourth Proportional to 775.54, 1,071.69 and 628.93

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Solution

The fourth proportional to 775.54, 1,071.69 and 628.93 is: 869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.54 : 1,071.69 = 628.93 : x
  2. Step 2: Convert to fraction form
    775.54/1,071.69 = 628.93/x
  3. Step 3: Cross multiply
    775.54x = 1,071.69 × 628.93
  4. Step 4: Simplify right side
    775.54x = 674,017.99
  5. Step 5: Solve for x
    x = 674,017.99/775.54
  6. Step 6: Final answer
    x = 869.10

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1.5x scale

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.