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Finding the Fourth Proportional to 946.86, 1,420.50 and 536.28

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Solution

The fourth proportional to 946.86, 1,420.50 and 536.28 is: 804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.86 : 1,420.50 = 536.28 : x
  2. Step 2: Convert to fraction form
    946.86/1,420.50 = 536.28/x
  3. Step 3: Cross multiply
    946.86x = 1,420.50 × 536.28
  4. Step 4: Simplify right side
    946.86x = 761,785.74
  5. Step 5: Solve for x
    x = 761,785.74/946.86
  6. Step 6: Final answer
    x = 804.54

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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.