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Finding the Fourth Proportional to 617.80, 928.64 and 575

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Solution

The fourth proportional to 617.80, 928.64 and 575 is: 864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.80 : 928.64 = 575 : x
  2. Step 2: Convert to fraction form
    617.80/928.64 = 575/x
  3. Step 3: Cross multiply
    617.80x = 928.64 × 575
  4. Step 4: Simplify right side
    617.80x = 533,968
  5. Step 5: Solve for x
    x = 533,968/617.80
  6. Step 6: Final answer
    x = 864.31

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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.