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Finding the Fourth Proportional to 832.87, 1,148.77 and 584.25

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Solution

The fourth proportional to 832.87, 1,148.77 and 584.25 is: 805.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.87 : 1,148.77 = 584.25 : x
  2. Step 2: Convert to fraction form
    832.87/1,148.77 = 584.25/x
  3. Step 3: Cross multiply
    832.87x = 1,148.77 × 584.25
  4. Step 4: Simplify right side
    832.87x = 671,160.21
  5. Step 5: Solve for x
    x = 671,160.21/832.87
  6. Step 6: Final answer
    x = 805.84

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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.