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Finding the Fourth Proportional to 957.68, 1,434.84 and 469.76

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Solution

The fourth proportional to 957.68, 1,434.84 and 469.76 is: 703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.68 : 1,434.84 = 469.76 : x
  2. Step 2: Convert to fraction form
    957.68/1,434.84 = 469.76/x
  3. Step 3: Cross multiply
    957.68x = 1,434.84 × 469.76
  4. Step 4: Simplify right side
    957.68x = 674,030.44
  5. Step 5: Solve for x
    x = 674,030.44/957.68
  6. Step 6: Final answer
    x = 703.82

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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.