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Finding the Fourth Proportional to 953.47, 1,315.20 and 604.36

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Solution

The fourth proportional to 953.47, 1,315.20 and 604.36 is: 833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.47 : 1,315.20 = 604.36 : x
  2. Step 2: Convert to fraction form
    953.47/1,315.20 = 604.36/x
  3. Step 3: Cross multiply
    953.47x = 1,315.20 × 604.36
  4. Step 4: Simplify right side
    953.47x = 794,854.27
  5. Step 5: Solve for x
    x = 794,854.27/953.47
  6. Step 6: Final answer
    x = 833.64

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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.