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Finding the Fourth Proportional to 1,312.84, 1,968.19 and 490.99

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Solution

The fourth proportional to 1,312.84, 1,968.19 and 490.99 is: 736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.84 : 1,968.19 = 490.99 : x
  2. Step 2: Convert to fraction form
    1,312.84/1,968.19 = 490.99/x
  3. Step 3: Cross multiply
    1,312.84x = 1,968.19 × 490.99
  4. Step 4: Simplify right side
    1,312.84x = 966,361.61
  5. Step 5: Solve for x
    x = 966,361.61/1,312.84
  6. Step 6: Final answer
    x = 736.09

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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.