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Finding the Fourth Proportional to 971.77, 1,457.31 and 313.62

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Solution

The fourth proportional to 971.77, 1,457.31 and 313.62 is: 470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.77 : 1,457.31 = 313.62 : x
  2. Step 2: Convert to fraction form
    971.77/1,457.31 = 313.62/x
  3. Step 3: Cross multiply
    971.77x = 1,457.31 × 313.62
  4. Step 4: Simplify right side
    971.77x = 457,041.56
  5. Step 5: Solve for x
    x = 457,041.56/971.77
  6. Step 6: Final answer
    x = 470.32

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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.