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Finding the Fourth Proportional to 971.72, 1,457.06 and 386.13

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Solution

The fourth proportional to 971.72, 1,457.06 and 386.13 is: 578.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.72 : 1,457.06 = 386.13 : x
  2. Step 2: Convert to fraction form
    971.72/1,457.06 = 386.13/x
  3. Step 3: Cross multiply
    971.72x = 1,457.06 × 386.13
  4. Step 4: Simplify right side
    971.72x = 562,612.65
  5. Step 5: Solve for x
    x = 562,612.65/971.72
  6. Step 6: Final answer
    x = 578.98

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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.