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Finding the Fourth Proportional to 953.42, 1,423.23 and 824.24

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Solution

The fourth proportional to 953.42, 1,423.23 and 824.24 is: 1,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.42 : 1,423.23 = 824.24 : x
  2. Step 2: Convert to fraction form
    953.42/1,423.23 = 824.24/x
  3. Step 3: Cross multiply
    953.42x = 1,423.23 × 824.24
  4. Step 4: Simplify right side
    953.42x = 1,173,075.98
  5. Step 5: Solve for x
    x = 1,173,075.98/953.42
  6. Step 6: Final answer
    x = 1,230.39

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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.