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Finding the Fourth Proportional to 972.95, 1,457.80 and 683.87

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Solution

The fourth proportional to 972.95, 1,457.80 and 683.87 is: 1,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.95 : 1,457.80 = 683.87 : x
  2. Step 2: Convert to fraction form
    972.95/1,457.80 = 683.87/x
  3. Step 3: Cross multiply
    972.95x = 1,457.80 × 683.87
  4. Step 4: Simplify right side
    972.95x = 996,945.69
  5. Step 5: Solve for x
    x = 996,945.69/972.95
  6. Step 6: Final answer
    x = 1,024.66

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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.