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Finding the Fourth Proportional to 976.10, 1,347.02 and 602.99

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Solution

The fourth proportional to 976.10, 1,347.02 and 602.99 is: 832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.10 : 1,347.02 = 602.99 : x
  2. Step 2: Convert to fraction form
    976.10/1,347.02 = 602.99/x
  3. Step 3: Cross multiply
    976.10x = 1,347.02 × 602.99
  4. Step 4: Simplify right side
    976.10x = 812,237.15
  5. Step 5: Solve for x
    x = 812,237.15/976.10
  6. Step 6: Final answer
    x = 832.13

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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.