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Finding the Fourth Proportional to 953.47, 1,315.68 and 622.35

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Solution

The fourth proportional to 953.47, 1,315.68 and 622.35 is: 858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.47 : 1,315.68 = 622.35 : x
  2. Step 2: Convert to fraction form
    953.47/1,315.68 = 622.35/x
  3. Step 3: Cross multiply
    953.47x = 1,315.68 × 622.35
  4. Step 4: Simplify right side
    953.47x = 818,811.11
  5. Step 5: Solve for x
    x = 818,811.11/953.47
  6. Step 6: Final answer
    x = 858.77

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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.