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Finding the Fourth Proportional to 1,051.68, 1,578.12 and 583.20

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Solution

The fourth proportional to 1,051.68, 1,578.12 and 583.20 is: 875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.68 : 1,578.12 = 583.20 : x
  2. Step 2: Convert to fraction form
    1,051.68/1,578.12 = 583.20/x
  3. Step 3: Cross multiply
    1,051.68x = 1,578.12 × 583.20
  4. Step 4: Simplify right side
    1,051.68x = 920,359.58
  5. Step 5: Solve for x
    x = 920,359.58/1,051.68
  6. Step 6: Final answer
    x = 875.13

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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.