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Finding the Fourth Proportional to 853.98, 1,281.12 and 507.60

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Solution

The fourth proportional to 853.98, 1,281.12 and 507.60 is: 761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.98 : 1,281.12 = 507.60 : x
  2. Step 2: Convert to fraction form
    853.98/1,281.12 = 507.60/x
  3. Step 3: Cross multiply
    853.98x = 1,281.12 × 507.60
  4. Step 4: Simplify right side
    853.98x = 650,296.51
  5. Step 5: Solve for x
    x = 650,296.51/853.98
  6. Step 6: Final answer
    x = 761.49

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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.