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Finding the Fourth Proportional to 1,021.86, 1,533.40 and 535.05

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Solution

The fourth proportional to 1,021.86, 1,533.40 and 535.05 is: 802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.86 : 1,533.40 = 535.05 : x
  2. Step 2: Convert to fraction form
    1,021.86/1,533.40 = 535.05/x
  3. Step 3: Cross multiply
    1,021.86x = 1,533.40 × 535.05
  4. Step 4: Simplify right side
    1,021.86x = 820,444.33
  5. Step 5: Solve for x
    x = 820,444.33/1,021.86
  6. Step 6: Final answer
    x = 802.89

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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.