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Finding the Fourth Proportional to 957.90, 1,428.14 and 919.02

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Solution

The fourth proportional to 957.90, 1,428.14 and 919.02 is: 1,370.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.90 : 1,428.14 = 919.02 : x
  2. Step 2: Convert to fraction form
    957.90/1,428.14 = 919.02/x
  3. Step 3: Cross multiply
    957.90x = 1,428.14 × 919.02
  4. Step 4: Simplify right side
    957.90x = 1,312,484.63
  5. Step 5: Solve for x
    x = 1,312,484.63/957.90
  6. Step 6: Final answer
    x = 1,370.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.