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Finding the Fourth Proportional to 1,056.01, 1,583.84 and 286.51

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Solution

The fourth proportional to 1,056.01, 1,583.84 and 286.51 is: 429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.01 : 1,583.84 = 286.51 : x
  2. Step 2: Convert to fraction form
    1,056.01/1,583.84 = 286.51/x
  3. Step 3: Cross multiply
    1,056.01x = 1,583.84 × 286.51
  4. Step 4: Simplify right side
    1,056.01x = 453,784.57
  5. Step 5: Solve for x
    x = 453,784.57/1,056.01
  6. Step 6: Final answer
    x = 429.72

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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.