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Finding the Fourth Proportional to 1,416.57, 2,124.53 and 538.89

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Solution

The fourth proportional to 1,416.57, 2,124.53 and 538.89 is: 808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.57 : 2,124.53 = 538.89 : x
  2. Step 2: Convert to fraction form
    1,416.57/2,124.53 = 538.89/x
  3. Step 3: Cross multiply
    1,416.57x = 2,124.53 × 538.89
  4. Step 4: Simplify right side
    1,416.57x = 1,144,885.28
  5. Step 5: Solve for x
    x = 1,144,885.28/1,416.57
  6. Step 6: Final answer
    x = 808.21

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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.