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Finding the Fourth Proportional to 1,319.53, 1,820.64 and 841.18

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Solution

The fourth proportional to 1,319.53, 1,820.64 and 841.18 is: 1,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.53 : 1,820.64 = 841.18 : x
  2. Step 2: Convert to fraction form
    1,319.53/1,820.64 = 841.18/x
  3. Step 3: Cross multiply
    1,319.53x = 1,820.64 × 841.18
  4. Step 4: Simplify right side
    1,319.53x = 1,531,485.96
  5. Step 5: Solve for x
    x = 1,531,485.96/1,319.53
  6. Step 6: Final answer
    x = 1,160.63

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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.