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Finding the Fourth Proportional to 1,054.77, 1,582.39 and 405.50

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Solution

The fourth proportional to 1,054.77, 1,582.39 and 405.50 is: 608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.77 : 1,582.39 = 405.50 : x
  2. Step 2: Convert to fraction form
    1,054.77/1,582.39 = 405.50/x
  3. Step 3: Cross multiply
    1,054.77x = 1,582.39 × 405.50
  4. Step 4: Simplify right side
    1,054.77x = 641,659.15
  5. Step 5: Solve for x
    x = 641,659.15/1,054.77
  6. Step 6: Final answer
    x = 608.34

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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.