Home / 1,316.25-1,973.16-493.97

Finding the Fourth Proportional to 1,316.25, 1,973.16 and 493.97

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Solution

The fourth proportional to 1,316.25, 1,973.16 and 493.97 is: 740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.25 : 1,973.16 = 493.97 : x
  2. Step 2: Convert to fraction form
    1,316.25/1,973.16 = 493.97/x
  3. Step 3: Cross multiply
    1,316.25x = 1,973.16 × 493.97
  4. Step 4: Simplify right side
    1,316.25x = 974,671.98
  5. Step 5: Solve for x
    x = 974,671.98/1,316.25
  6. Step 6: Final answer
    x = 740.49

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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.