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Finding the Fourth Proportional to 561.12, 775.35 and 437.10

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Solution

The fourth proportional to 561.12, 775.35 and 437.10 is: 603.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.12 : 775.35 = 437.10 : x
  2. Step 2: Convert to fraction form
    561.12/775.35 = 437.10/x
  3. Step 3: Cross multiply
    561.12x = 775.35 × 437.10
  4. Step 4: Simplify right side
    561.12x = 338,905.49
  5. Step 5: Solve for x
    x = 338,905.49/561.12
  6. Step 6: Final answer
    x = 603.98

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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.