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Finding the Fourth Proportional to 976.53, 1,347.36 and 598.32

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Solution

The fourth proportional to 976.53, 1,347.36 and 598.32 is: 825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.53 : 1,347.36 = 598.32 : x
  2. Step 2: Convert to fraction form
    976.53/1,347.36 = 598.32/x
  3. Step 3: Cross multiply
    976.53x = 1,347.36 × 598.32
  4. Step 4: Simplify right side
    976.53x = 806,152.44
  5. Step 5: Solve for x
    x = 806,152.44/976.53
  6. Step 6: Final answer
    x = 825.53

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Double scale
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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.