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Finding the Fourth Proportional to 1,416.40, 1,954.69 and 856.77

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Solution

The fourth proportional to 1,416.40, 1,954.69 and 856.77 is: 1,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.40 : 1,954.69 = 856.77 : x
  2. Step 2: Convert to fraction form
    1,416.40/1,954.69 = 856.77/x
  3. Step 3: Cross multiply
    1,416.40x = 1,954.69 × 856.77
  4. Step 4: Simplify right side
    1,416.40x = 1,674,710.28
  5. Step 5: Solve for x
    x = 1,674,710.28/1,416.40
  6. Step 6: Final answer
    x = 1,182.37

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Half scale
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Double scale
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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.