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Finding the Fourth Proportional to 971.83, 1,457.98 and 386.87

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Solution

The fourth proportional to 971.83, 1,457.98 and 386.87 is: 580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.83 : 1,457.98 = 386.87 : x
  2. Step 2: Convert to fraction form
    971.83/1,457.98 = 386.87/x
  3. Step 3: Cross multiply
    971.83x = 1,457.98 × 386.87
  4. Step 4: Simplify right side
    971.83x = 564,048.67
  5. Step 5: Solve for x
    x = 564,048.67/971.83
  6. Step 6: Final answer
    x = 580.40

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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.