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Finding the Fourth Proportional to 1,688.51, 2,533.24 and 578.18

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Solution

The fourth proportional to 1,688.51, 2,533.24 and 578.18 is: 867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.51 : 2,533.24 = 578.18 : x
  2. Step 2: Convert to fraction form
    1,688.51/2,533.24 = 578.18/x
  3. Step 3: Cross multiply
    1,688.51x = 2,533.24 × 578.18
  4. Step 4: Simplify right side
    1,688.51x = 1,464,655.51
  5. Step 5: Solve for x
    x = 1,464,655.51/1,688.51
  6. Step 6: Final answer
    x = 867.43

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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.