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Finding the Fourth Proportional to 540.69, 746.34 and 458.22

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Solution

The fourth proportional to 540.69, 746.34 and 458.22 is: 632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.69 : 746.34 = 458.22 : x
  2. Step 2: Convert to fraction form
    540.69/746.34 = 458.22/x
  3. Step 3: Cross multiply
    540.69x = 746.34 × 458.22
  4. Step 4: Simplify right side
    540.69x = 341,987.91
  5. Step 5: Solve for x
    x = 341,987.91/540.69
  6. Step 6: Final answer
    x = 632.50

Related Problems

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1.5x scale

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.