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Finding the Fourth Proportional to 1,571.05, 2,356.16 and 646.10

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Solution

The fourth proportional to 1,571.05, 2,356.16 and 646.10 is: 968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.05 : 2,356.16 = 646.10 : x
  2. Step 2: Convert to fraction form
    1,571.05/2,356.16 = 646.10/x
  3. Step 3: Cross multiply
    1,571.05x = 2,356.16 × 646.10
  4. Step 4: Simplify right side
    1,571.05x = 1,522,303.20
  5. Step 5: Solve for x
    x = 1,522,303.20/1,571.05
  6. Step 6: Final answer
    x = 968.97

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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.