Home / 1,316.57-1,973.43-667.35

Finding the Fourth Proportional to 1,316.57, 1,973.43 and 667.35

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Solution

The fourth proportional to 1,316.57, 1,973.43 and 667.35 is: 1,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.57 : 1,973.43 = 667.35 : x
  2. Step 2: Convert to fraction form
    1,316.57/1,973.43 = 667.35/x
  3. Step 3: Cross multiply
    1,316.57x = 1,973.43 × 667.35
  4. Step 4: Simplify right side
    1,316.57x = 1,316,968.51
  5. Step 5: Solve for x
    x = 1,316,968.51/1,316.57
  6. Step 6: Final answer
    x = 1,000.31

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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.