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Finding the Fourth Proportional to 1,055.31, 1,582.78 and 285.63

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Solution

The fourth proportional to 1,055.31, 1,582.78 and 285.63 is: 428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.31 : 1,582.78 = 285.63 : x
  2. Step 2: Convert to fraction form
    1,055.31/1,582.78 = 285.63/x
  3. Step 3: Cross multiply
    1,055.31x = 1,582.78 × 285.63
  4. Step 4: Simplify right side
    1,055.31x = 452,080.11
  5. Step 5: Solve for x
    x = 452,080.11/1,055.31
  6. Step 6: Final answer
    x = 428.39

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Double scale
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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.