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Finding the Fourth Proportional to 1,970.64, 2,954.88 and 583.56

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Solution

The fourth proportional to 1,970.64, 2,954.88 and 583.56 is: 875.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.64 : 2,954.88 = 583.56 : x
  2. Step 2: Convert to fraction form
    1,970.64/2,954.88 = 583.56/x
  3. Step 3: Cross multiply
    1,970.64x = 2,954.88 × 583.56
  4. Step 4: Simplify right side
    1,970.64x = 1,724,349.77
  5. Step 5: Solve for x
    x = 1,724,349.77/1,970.64
  6. Step 6: Final answer
    x = 875.02

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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.