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Finding the Fourth Proportional to 1,430.01, 2,144.58 and 455.88

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Solution

The fourth proportional to 1,430.01, 2,144.58 and 455.88 is: 683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.01 : 2,144.58 = 455.88 : x
  2. Step 2: Convert to fraction form
    1,430.01/2,144.58 = 455.88/x
  3. Step 3: Cross multiply
    1,430.01x = 2,144.58 × 455.88
  4. Step 4: Simplify right side
    1,430.01x = 977,671.13
  5. Step 5: Solve for x
    x = 977,671.13/1,430.01
  6. Step 6: Final answer
    x = 683.68

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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.