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Finding the Fourth Proportional to 1,575.02, 2,362.80 and 479.14

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Solution

The fourth proportional to 1,575.02, 2,362.80 and 479.14 is: 718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.02 : 2,362.80 = 479.14 : x
  2. Step 2: Convert to fraction form
    1,575.02/2,362.80 = 479.14/x
  3. Step 3: Cross multiply
    1,575.02x = 2,362.80 × 479.14
  4. Step 4: Simplify right side
    1,575.02x = 1,132,111.99
  5. Step 5: Solve for x
    x = 1,132,111.99/1,575.02
  6. Step 6: Final answer
    x = 718.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.