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Finding the Fourth Proportional to 1,407.22, 2,111.05 and 529.79

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Solution

The fourth proportional to 1,407.22, 2,111.05 and 529.79 is: 794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.22 : 2,111.05 = 529.79 : x
  2. Step 2: Convert to fraction form
    1,407.22/2,111.05 = 529.79/x
  3. Step 3: Cross multiply
    1,407.22x = 2,111.05 × 529.79
  4. Step 4: Simplify right side
    1,407.22x = 1,118,413.18
  5. Step 5: Solve for x
    x = 1,118,413.18/1,407.22
  6. Step 6: Final answer
    x = 794.77

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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.