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Finding the Fourth Proportional to 785.34, 1,177.98 and 477.27

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Solution

The fourth proportional to 785.34, 1,177.98 and 477.27 is: 715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.34 : 1,177.98 = 477.27 : x
  2. Step 2: Convert to fraction form
    785.34/1,177.98 = 477.27/x
  3. Step 3: Cross multiply
    785.34x = 1,177.98 × 477.27
  4. Step 4: Simplify right side
    785.34x = 562,214.51
  5. Step 5: Solve for x
    x = 562,214.51/785.34
  6. Step 6: Final answer
    x = 715.89

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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.