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Finding the Fourth Proportional to 612.10, 918.54 and 571.60

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Solution

The fourth proportional to 612.10, 918.54 and 571.60 is: 857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.10 : 918.54 = 571.60 : x
  2. Step 2: Convert to fraction form
    612.10/918.54 = 571.60/x
  3. Step 3: Cross multiply
    612.10x = 918.54 × 571.60
  4. Step 4: Simplify right side
    612.10x = 525,037.46
  5. Step 5: Solve for x
    x = 525,037.46/612.10
  6. Step 6: Final answer
    x = 857.76

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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.