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Finding the Fourth Proportional to 567.94, 785.07 and 436.72

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Solution

The fourth proportional to 567.94, 785.07 and 436.72 is: 603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.94 : 785.07 = 436.72 : x
  2. Step 2: Convert to fraction form
    567.94/785.07 = 436.72/x
  3. Step 3: Cross multiply
    567.94x = 785.07 × 436.72
  4. Step 4: Simplify right side
    567.94x = 342,855.77
  5. Step 5: Solve for x
    x = 342,855.77/567.94
  6. Step 6: Final answer
    x = 603.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.