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Finding the Fourth Proportional to 1,019.28, 1,406.16 and 670.26

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Solution

The fourth proportional to 1,019.28, 1,406.16 and 670.26 is: 924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.28 : 1,406.16 = 670.26 : x
  2. Step 2: Convert to fraction form
    1,019.28/1,406.16 = 670.26/x
  3. Step 3: Cross multiply
    1,019.28x = 1,406.16 × 670.26
  4. Step 4: Simplify right side
    1,019.28x = 942,492.80
  5. Step 5: Solve for x
    x = 942,492.80/1,019.28
  6. Step 6: Final answer
    x = 924.67

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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.