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Finding the Fourth Proportional to 1,430.98, 2,145.42 and 456.52

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Solution

The fourth proportional to 1,430.98, 2,145.42 and 456.52 is: 684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.98 : 2,145.42 = 456.52 : x
  2. Step 2: Convert to fraction form
    1,430.98/2,145.42 = 456.52/x
  3. Step 3: Cross multiply
    1,430.98x = 2,145.42 × 456.52
  4. Step 4: Simplify right side
    1,430.98x = 979,427.14
  5. Step 5: Solve for x
    x = 979,427.14/1,430.98
  6. Step 6: Final answer
    x = 684.45

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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.