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Finding the Fourth Proportional to 1,574.80, 2,362.21 and 479.16

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Solution

The fourth proportional to 1,574.80, 2,362.21 and 479.16 is: 718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.80 : 2,362.21 = 479.16 : x
  2. Step 2: Convert to fraction form
    1,574.80/2,362.21 = 479.16/x
  3. Step 3: Cross multiply
    1,574.80x = 2,362.21 × 479.16
  4. Step 4: Simplify right side
    1,574.80x = 1,131,875.35
  5. Step 5: Solve for x
    x = 1,131,875.35/1,574.80
  6. Step 6: Final answer
    x = 718.74

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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.