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Finding the Fourth Proportional to 822.55, 1,135.35 and 507.86

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Solution

The fourth proportional to 822.55, 1,135.35 and 507.86 is: 700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.55 : 1,135.35 = 507.86 : x
  2. Step 2: Convert to fraction form
    822.55/1,135.35 = 507.86/x
  3. Step 3: Cross multiply
    822.55x = 1,135.35 × 507.86
  4. Step 4: Simplify right side
    822.55x = 576,599.78
  5. Step 5: Solve for x
    x = 576,599.78/822.55
  6. Step 6: Final answer
    x = 700.99

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