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Finding the Fourth Proportional to 976.96, 1,458.72 and 840.16

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Solution

The fourth proportional to 976.96, 1,458.72 and 840.16 is: 1,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.96 : 1,458.72 = 840.16 : x
  2. Step 2: Convert to fraction form
    976.96/1,458.72 = 840.16/x
  3. Step 3: Cross multiply
    976.96x = 1,458.72 × 840.16
  4. Step 4: Simplify right side
    976.96x = 1,225,558.20
  5. Step 5: Solve for x
    x = 1,225,558.20/976.96
  6. Step 6: Final answer
    x = 1,254.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.