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Finding the Fourth Proportional to 1,407.42, 2,109.60 and 482.58

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Solution

The fourth proportional to 1,407.42, 2,109.60 and 482.58 is: 723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.42 : 2,109.60 = 482.58 : x
  2. Step 2: Convert to fraction form
    1,407.42/2,109.60 = 482.58/x
  3. Step 3: Cross multiply
    1,407.42x = 2,109.60 × 482.58
  4. Step 4: Simplify right side
    1,407.42x = 1,018,050.77
  5. Step 5: Solve for x
    x = 1,018,050.77/1,407.42
  6. Step 6: Final answer
    x = 723.35

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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.