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Finding the Fourth Proportional to 946.08, 1,420.29 and 535.55

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Solution

The fourth proportional to 946.08, 1,420.29 and 535.55 is: 803.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.08 : 1,420.29 = 535.55 : x
  2. Step 2: Convert to fraction form
    946.08/1,420.29 = 535.55/x
  3. Step 3: Cross multiply
    946.08x = 1,420.29 × 535.55
  4. Step 4: Simplify right side
    946.08x = 760,629.21
  5. Step 5: Solve for x
    x = 760,629.21/946.08
  6. Step 6: Final answer
    x = 803.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.