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Finding the Fourth Proportional to 595.12, 891.36 and 457.15

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Solution

The fourth proportional to 595.12, 891.36 and 457.15 is: 684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.12 : 891.36 = 457.15 : x
  2. Step 2: Convert to fraction form
    595.12/891.36 = 457.15/x
  3. Step 3: Cross multiply
    595.12x = 891.36 × 457.15
  4. Step 4: Simplify right side
    595.12x = 407,485.22
  5. Step 5: Solve for x
    x = 407,485.22/595.12
  6. Step 6: Final answer
    x = 684.71

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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.