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Finding the Fourth Proportional to 878.35, 1,316.89 and 507.63

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Solution

The fourth proportional to 878.35, 1,316.89 and 507.63 is: 761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.35 : 1,316.89 = 507.63 : x
  2. Step 2: Convert to fraction form
    878.35/1,316.89 = 507.63/x
  3. Step 3: Cross multiply
    878.35x = 1,316.89 × 507.63
  4. Step 4: Simplify right side
    878.35x = 668,495.91
  5. Step 5: Solve for x
    x = 668,495.91/878.35
  6. Step 6: Final answer
    x = 761.08

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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.