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Finding the Fourth Proportional to 623.12, 929.25 and 546.44

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Solution

The fourth proportional to 623.12, 929.25 and 546.44 is: 814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.12 : 929.25 = 546.44 : x
  2. Step 2: Convert to fraction form
    623.12/929.25 = 546.44/x
  3. Step 3: Cross multiply
    623.12x = 929.25 × 546.44
  4. Step 4: Simplify right side
    623.12x = 507,779.37
  5. Step 5: Solve for x
    x = 507,779.37/623.12
  6. Step 6: Final answer
    x = 814.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.