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Finding the Fourth Proportional to 995.40, 1,373.60 and 575.77

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Solution

The fourth proportional to 995.40, 1,373.60 and 575.77 is: 794.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.40 : 1,373.60 = 575.77 : x
  2. Step 2: Convert to fraction form
    995.40/1,373.60 = 575.77/x
  3. Step 3: Cross multiply
    995.40x = 1,373.60 × 575.77
  4. Step 4: Simplify right side
    995.40x = 790,877.67
  5. Step 5: Solve for x
    x = 790,877.67/995.40
  6. Step 6: Final answer
    x = 794.53

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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.