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Finding the Fourth Proportional to 1,457.90, 2,182.56 and 963.40

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Solution

The fourth proportional to 1,457.90, 2,182.56 and 963.40 is: 1,442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.90 : 2,182.56 = 963.40 : x
  2. Step 2: Convert to fraction form
    1,457.90/2,182.56 = 963.40/x
  3. Step 3: Cross multiply
    1,457.90x = 2,182.56 × 963.40
  4. Step 4: Simplify right side
    1,457.90x = 2,102,678.30
  5. Step 5: Solve for x
    x = 2,102,678.30/1,457.90
  6. Step 6: Final answer
    x = 1,442.27

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1.5x scale

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.