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Finding the Fourth Proportional to 978.56, 1,457.68 and 923.84

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Solution

The fourth proportional to 978.56, 1,457.68 and 923.84 is: 1,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.56 : 1,457.68 = 923.84 : x
  2. Step 2: Convert to fraction form
    978.56/1,457.68 = 923.84/x
  3. Step 3: Cross multiply
    978.56x = 1,457.68 × 923.84
  4. Step 4: Simplify right side
    978.56x = 1,346,663.09
  5. Step 5: Solve for x
    x = 1,346,663.09/978.56
  6. Step 6: Final answer
    x = 1,376.17

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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.