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Finding the Fourth Proportional to 815.42, 1,125.16 and 535.77

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Solution

The fourth proportional to 815.42, 1,125.16 and 535.77 is: 739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.42 : 1,125.16 = 535.77 : x
  2. Step 2: Convert to fraction form
    815.42/1,125.16 = 535.77/x
  3. Step 3: Cross multiply
    815.42x = 1,125.16 × 535.77
  4. Step 4: Simplify right side
    815.42x = 602,825.63
  5. Step 5: Solve for x
    x = 602,825.63/815.42
  6. Step 6: Final answer
    x = 739.28

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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.