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Finding the Fourth Proportional to 1,457, 2,185.88 and 431

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Solution

The fourth proportional to 1,457, 2,185.88 and 431 is: 646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457 : 2,185.88 = 431 : x
  2. Step 2: Convert to fraction form
    1,457/2,185.88 = 431/x
  3. Step 3: Cross multiply
    1,457x = 2,185.88 × 431
  4. Step 4: Simplify right side
    1,457x = 942,114.28
  5. Step 5: Solve for x
    x = 942,114.28/1,457
  6. Step 6: Final answer
    x = 646.61

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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.