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Finding the Fourth Proportional to 953.09, 1,314.89 and 705.01

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Solution

The fourth proportional to 953.09, 1,314.89 and 705.01 is: 972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.09 : 1,314.89 = 705.01 : x
  2. Step 2: Convert to fraction form
    953.09/1,314.89 = 705.01/x
  3. Step 3: Cross multiply
    953.09x = 1,314.89 × 705.01
  4. Step 4: Simplify right side
    953.09x = 927,000.50
  5. Step 5: Solve for x
    x = 927,000.50/953.09
  6. Step 6: Final answer
    x = 972.63

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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.