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Finding the Fourth Proportional to 711, 980.64 and 490.32

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Solution

The fourth proportional to 711, 980.64 and 490.32 is: 676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    711 : 980.64 = 490.32 : x
  2. Step 2: Convert to fraction form
    711/980.64 = 490.32/x
  3. Step 3: Cross multiply
    711x = 980.64 × 490.32
  4. Step 4: Simplify right side
    711x = 480,827.40
  5. Step 5: Solve for x
    x = 480,827.40/711
  6. Step 6: Final answer
    x = 676.27

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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.