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Finding the Fourth Proportional to 953.42, 1,315.77 and 533.78

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Solution

The fourth proportional to 953.42, 1,315.77 and 533.78 is: 736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.42 : 1,315.77 = 533.78 : x
  2. Step 2: Convert to fraction form
    953.42/1,315.77 = 533.78/x
  3. Step 3: Cross multiply
    953.42x = 1,315.77 × 533.78
  4. Step 4: Simplify right side
    953.42x = 702,331.71
  5. Step 5: Solve for x
    x = 702,331.71/953.42
  6. Step 6: Final answer
    x = 736.64

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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.