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Finding the Fourth Proportional to 877.71, 1,313.37 and 529.77

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Solution

The fourth proportional to 877.71, 1,313.37 and 529.77 is: 792.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.71 : 1,313.37 = 529.77 : x
  2. Step 2: Convert to fraction form
    877.71/1,313.37 = 529.77/x
  3. Step 3: Cross multiply
    877.71x = 1,313.37 × 529.77
  4. Step 4: Simplify right side
    877.71x = 695,784.02
  5. Step 5: Solve for x
    x = 695,784.02/877.71
  6. Step 6: Final answer
    x = 792.73

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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.