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Finding the Fourth Proportional to 953.34, 1,424.24 and 947.94

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Solution

The fourth proportional to 953.34, 1,424.24 and 947.94 is: 1,416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.34 : 1,424.24 = 947.94 : x
  2. Step 2: Convert to fraction form
    953.34/1,424.24 = 947.94/x
  3. Step 3: Cross multiply
    953.34x = 1,424.24 × 947.94
  4. Step 4: Simplify right side
    953.34x = 1,350,089.33
  5. Step 5: Solve for x
    x = 1,350,089.33/953.34
  6. Step 6: Final answer
    x = 1,416.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.