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Finding the Fourth Proportional to 567.64, 851.76 and 430.65

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Solution

The fourth proportional to 567.64, 851.76 and 430.65 is: 646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.64 : 851.76 = 430.65 : x
  2. Step 2: Convert to fraction form
    567.64/851.76 = 430.65/x
  3. Step 3: Cross multiply
    567.64x = 851.76 × 430.65
  4. Step 4: Simplify right side
    567.64x = 366,810.44
  5. Step 5: Solve for x
    x = 366,810.44/567.64
  6. Step 6: Final answer
    x = 646.20

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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.