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Finding the Fourth Proportional to 950.57, 1,430.51 and 787.35

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Solution

The fourth proportional to 950.57, 1,430.51 and 787.35 is: 1,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.57 : 1,430.51 = 787.35 : x
  2. Step 2: Convert to fraction form
    950.57/1,430.51 = 787.35/x
  3. Step 3: Cross multiply
    950.57x = 1,430.51 × 787.35
  4. Step 4: Simplify right side
    950.57x = 1,126,312.05
  5. Step 5: Solve for x
    x = 1,126,312.05/950.57
  6. Step 6: Final answer
    x = 1,184.88

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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.