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Finding the Fourth Proportional to 1,457.62, 2,185.92 and 470.40

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Solution

The fourth proportional to 1,457.62, 2,185.92 and 470.40 is: 705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.62 : 2,185.92 = 470.40 : x
  2. Step 2: Convert to fraction form
    1,457.62/2,185.92 = 470.40/x
  3. Step 3: Cross multiply
    1,457.62x = 2,185.92 × 470.40
  4. Step 4: Simplify right side
    1,457.62x = 1,028,256.77
  5. Step 5: Solve for x
    x = 1,028,256.77/1,457.62
  6. Step 6: Final answer
    x = 705.44

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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.