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Finding the Fourth Proportional to 804.07, 1,108.75 and 524.55

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Solution

The fourth proportional to 804.07, 1,108.75 and 524.55 is: 723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.07 : 1,108.75 = 524.55 : x
  2. Step 2: Convert to fraction form
    804.07/1,108.75 = 524.55/x
  3. Step 3: Cross multiply
    804.07x = 1,108.75 × 524.55
  4. Step 4: Simplify right side
    804.07x = 581,594.81
  5. Step 5: Solve for x
    x = 581,594.81/804.07
  6. Step 6: Final answer
    x = 723.31

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1.5x scale

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.