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Finding the Fourth Proportional to 971.65, 1,457.46 and 386.62

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Solution

The fourth proportional to 971.65, 1,457.46 and 386.62 is: 579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.65 : 1,457.46 = 386.62 : x
  2. Step 2: Convert to fraction form
    971.65/1,457.46 = 386.62/x
  3. Step 3: Cross multiply
    971.65x = 1,457.46 × 386.62
  4. Step 4: Simplify right side
    971.65x = 563,487.74
  5. Step 5: Solve for x
    x = 563,487.74/971.65
  6. Step 6: Final answer
    x = 579.93

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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.