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Finding the Fourth Proportional to 1,055.53, 1,580.41 and 823.16

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Solution

The fourth proportional to 1,055.53, 1,580.41 and 823.16 is: 1,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.53 : 1,580.41 = 823.16 : x
  2. Step 2: Convert to fraction form
    1,055.53/1,580.41 = 823.16/x
  3. Step 3: Cross multiply
    1,055.53x = 1,580.41 × 823.16
  4. Step 4: Simplify right side
    1,055.53x = 1,300,935.28
  5. Step 5: Solve for x
    x = 1,300,935.28/1,055.53
  6. Step 6: Final answer
    x = 1,232.49

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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.