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Finding the Fourth Proportional to 795.60, 1,193.28 and 339.60

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Solution

The fourth proportional to 795.60, 1,193.28 and 339.60 is: 509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.60 : 1,193.28 = 339.60 : x
  2. Step 2: Convert to fraction form
    795.60/1,193.28 = 339.60/x
  3. Step 3: Cross multiply
    795.60x = 1,193.28 × 339.60
  4. Step 4: Simplify right side
    795.60x = 405,237.89
  5. Step 5: Solve for x
    x = 405,237.89/795.60
  6. Step 6: Final answer
    x = 509.35

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.