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Finding the Fourth Proportional to 970.32, 1,462.64 and 809.08

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Solution

The fourth proportional to 970.32, 1,462.64 and 809.08 is: 1,219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.32 : 1,462.64 = 809.08 : x
  2. Step 2: Convert to fraction form
    970.32/1,462.64 = 809.08/x
  3. Step 3: Cross multiply
    970.32x = 1,462.64 × 809.08
  4. Step 4: Simplify right side
    970.32x = 1,183,392.77
  5. Step 5: Solve for x
    x = 1,183,392.77/970.32
  6. Step 6: Final answer
    x = 1,219.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.