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Finding the Fourth Proportional to 1,574.09, 2,360.12 and 478.16

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Solution

The fourth proportional to 1,574.09, 2,360.12 and 478.16 is: 716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.09 : 2,360.12 = 478.16 : x
  2. Step 2: Convert to fraction form
    1,574.09/2,360.12 = 478.16/x
  3. Step 3: Cross multiply
    1,574.09x = 2,360.12 × 478.16
  4. Step 4: Simplify right side
    1,574.09x = 1,128,514.98
  5. Step 5: Solve for x
    x = 1,128,514.98/1,574.09
  6. Step 6: Final answer
    x = 716.93

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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.