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Finding the Fourth Proportional to 1,557.42, 2,335.73 and 583.80

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Solution

The fourth proportional to 1,557.42, 2,335.73 and 583.80 is: 875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.42 : 2,335.73 = 583.80 : x
  2. Step 2: Convert to fraction form
    1,557.42/2,335.73 = 583.80/x
  3. Step 3: Cross multiply
    1,557.42x = 2,335.73 × 583.80
  4. Step 4: Simplify right side
    1,557.42x = 1,363,596.26
  5. Step 5: Solve for x
    x = 1,363,596.26/1,557.42
  6. Step 6: Final answer
    x = 875.55

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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.