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Finding the Fourth Proportional to 1,019.36, 1,406.76 and 670.40

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Solution

The fourth proportional to 1,019.36, 1,406.76 and 670.40 is: 925.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.36 : 1,406.76 = 670.40 : x
  2. Step 2: Convert to fraction form
    1,019.36/1,406.76 = 670.40/x
  3. Step 3: Cross multiply
    1,019.36x = 1,406.76 × 670.40
  4. Step 4: Simplify right side
    1,019.36x = 943,091.90
  5. Step 5: Solve for x
    x = 943,091.90/1,019.36
  6. Step 6: Final answer
    x = 925.18

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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.