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Finding the Fourth Proportional to 1,410.74, 1,946.76 and 821.30

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Solution

The fourth proportional to 1,410.74, 1,946.76 and 821.30 is: 1,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.74 : 1,946.76 = 821.30 : x
  2. Step 2: Convert to fraction form
    1,410.74/1,946.76 = 821.30/x
  3. Step 3: Cross multiply
    1,410.74x = 1,946.76 × 821.30
  4. Step 4: Simplify right side
    1,410.74x = 1,598,873.99
  5. Step 5: Solve for x
    x = 1,598,873.99/1,410.74
  6. Step 6: Final answer
    x = 1,133.36

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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.