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Finding the Fourth Proportional to 950.83, 1,312.27 and 557.84

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Solution

The fourth proportional to 950.83, 1,312.27 and 557.84 is: 769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.83 : 1,312.27 = 557.84 : x
  2. Step 2: Convert to fraction form
    950.83/1,312.27 = 557.84/x
  3. Step 3: Cross multiply
    950.83x = 1,312.27 × 557.84
  4. Step 4: Simplify right side
    950.83x = 732,038.58
  5. Step 5: Solve for x
    x = 732,038.58/950.83
  6. Step 6: Final answer
    x = 769.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.