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Finding the Fourth Proportional to 1,329.66, 1,994.40 and 355.68

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Solution

The fourth proportional to 1,329.66, 1,994.40 and 355.68 is: 533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.66 : 1,994.40 = 355.68 : x
  2. Step 2: Convert to fraction form
    1,329.66/1,994.40 = 355.68/x
  3. Step 3: Cross multiply
    1,329.66x = 1,994.40 × 355.68
  4. Step 4: Simplify right side
    1,329.66x = 709,368.19
  5. Step 5: Solve for x
    x = 709,368.19/1,329.66
  6. Step 6: Final answer
    x = 533.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.