Home / 1,688.72-2,331.04-1,157.90

Finding the Fourth Proportional to 1,688.72, 2,331.04 and 1,157.90

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Solution

The fourth proportional to 1,688.72, 2,331.04 and 1,157.90 is: 1,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.72 : 2,331.04 = 1,157.90 : x
  2. Step 2: Convert to fraction form
    1,688.72/2,331.04 = 1,157.90/x
  3. Step 3: Cross multiply
    1,688.72x = 2,331.04 × 1,157.90
  4. Step 4: Simplify right side
    1,688.72x = 2,699,111.22
  5. Step 5: Solve for x
    x = 2,699,111.22/1,688.72
  6. Step 6: Final answer
    x = 1,598.32

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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.