Home / 1,316.10-1,972.93-493.75

Finding the Fourth Proportional to 1,316.10, 1,972.93 and 493.75

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Solution

The fourth proportional to 1,316.10, 1,972.93 and 493.75 is: 740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.10 : 1,972.93 = 493.75 : x
  2. Step 2: Convert to fraction form
    1,316.10/1,972.93 = 493.75/x
  3. Step 3: Cross multiply
    1,316.10x = 1,972.93 × 493.75
  4. Step 4: Simplify right side
    1,316.10x = 974,134.19
  5. Step 5: Solve for x
    x = 974,134.19/1,316.10
  6. Step 6: Final answer
    x = 740.17

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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.