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Finding the Fourth Proportional to 601.52, 899.60 and 453.40

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Solution

The fourth proportional to 601.52, 899.60 and 453.40 is: 678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.52 : 899.60 = 453.40 : x
  2. Step 2: Convert to fraction form
    601.52/899.60 = 453.40/x
  3. Step 3: Cross multiply
    601.52x = 899.60 × 453.40
  4. Step 4: Simplify right side
    601.52x = 407,878.64
  5. Step 5: Solve for x
    x = 407,878.64/601.52
  6. Step 6: Final answer
    x = 678.08

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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.