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Finding the Fourth Proportional to 1,685.04, 2,525.52 and 954.96

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Solution

The fourth proportional to 1,685.04, 2,525.52 and 954.96 is: 1,431.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.04 : 2,525.52 = 954.96 : x
  2. Step 2: Convert to fraction form
    1,685.04/2,525.52 = 954.96/x
  3. Step 3: Cross multiply
    1,685.04x = 2,525.52 × 954.96
  4. Step 4: Simplify right side
    1,685.04x = 2,411,770.58
  5. Step 5: Solve for x
    x = 2,411,770.58/1,685.04
  6. Step 6: Final answer
    x = 1,431.28

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1.5x scale

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.