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Finding the Fourth Proportional to 953.19, 1,428.98 and 907.83

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Solution

The fourth proportional to 953.19, 1,428.98 and 907.83 is: 1,360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.19 : 1,428.98 = 907.83 : x
  2. Step 2: Convert to fraction form
    953.19/1,428.98 = 907.83/x
  3. Step 3: Cross multiply
    953.19x = 1,428.98 × 907.83
  4. Step 4: Simplify right side
    953.19x = 1,297,266.37
  5. Step 5: Solve for x
    x = 1,297,266.37/953.19
  6. Step 6: Final answer
    x = 1,360.97

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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.