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Finding the Fourth Proportional to 735.81, 1,015.80 and 569.64

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Solution

The fourth proportional to 735.81, 1,015.80 and 569.64 is: 786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.81 : 1,015.80 = 569.64 : x
  2. Step 2: Convert to fraction form
    735.81/1,015.80 = 569.64/x
  3. Step 3: Cross multiply
    735.81x = 1,015.80 × 569.64
  4. Step 4: Simplify right side
    735.81x = 578,640.31
  5. Step 5: Solve for x
    x = 578,640.31/735.81
  6. Step 6: Final answer
    x = 786.40

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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.