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Finding the Fourth Proportional to 567.76, 852.04 and 384.70

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Solution

The fourth proportional to 567.76, 852.04 and 384.70 is: 577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.76 : 852.04 = 384.70 : x
  2. Step 2: Convert to fraction form
    567.76/852.04 = 384.70/x
  3. Step 3: Cross multiply
    567.76x = 852.04 × 384.70
  4. Step 4: Simplify right side
    567.76x = 327,779.79
  5. Step 5: Solve for x
    x = 327,779.79/567.76
  6. Step 6: Final answer
    x = 577.32

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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.