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Finding the Fourth Proportional to 845.84, 1,165.80 and 583.52

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Solution

The fourth proportional to 845.84, 1,165.80 and 583.52 is: 804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.84 : 1,165.80 = 583.52 : x
  2. Step 2: Convert to fraction form
    845.84/1,165.80 = 583.52/x
  3. Step 3: Cross multiply
    845.84x = 1,165.80 × 583.52
  4. Step 4: Simplify right side
    845.84x = 680,267.62
  5. Step 5: Solve for x
    x = 680,267.62/845.84
  6. Step 6: Final answer
    x = 804.25

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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.