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Finding the Fourth Proportional to 783.86, 1,081.65 and 507.86

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Solution

The fourth proportional to 783.86, 1,081.65 and 507.86 is: 700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.86 : 1,081.65 = 507.86 : x
  2. Step 2: Convert to fraction form
    783.86/1,081.65 = 507.86/x
  3. Step 3: Cross multiply
    783.86x = 1,081.65 × 507.86
  4. Step 4: Simplify right side
    783.86x = 549,326.77
  5. Step 5: Solve for x
    x = 549,326.77/783.86
  6. Step 6: Final answer
    x = 700.80

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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.