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Finding the Fourth Proportional to 970.85, 1,461.75 and 856.03

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Solution

The fourth proportional to 970.85, 1,461.75 and 856.03 is: 1,288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.85 : 1,461.75 = 856.03 : x
  2. Step 2: Convert to fraction form
    970.85/1,461.75 = 856.03/x
  3. Step 3: Cross multiply
    970.85x = 1,461.75 × 856.03
  4. Step 4: Simplify right side
    970.85x = 1,251,297.57
  5. Step 5: Solve for x
    x = 1,251,297.57/970.85
  6. Step 6: Final answer
    x = 1,288.87

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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.