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Finding the Fourth Proportional to 783.86, 1,081.54 and 469.07

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Solution

The fourth proportional to 783.86, 1,081.54 and 469.07 is: 647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.86 : 1,081.54 = 469.07 : x
  2. Step 2: Convert to fraction form
    783.86/1,081.54 = 469.07/x
  3. Step 3: Cross multiply
    783.86x = 1,081.54 × 469.07
  4. Step 4: Simplify right side
    783.86x = 507,323.29
  5. Step 5: Solve for x
    x = 507,323.29/783.86
  6. Step 6: Final answer
    x = 647.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.