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Finding the Fourth Proportional to 720.21, 993.54 and 458.46

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Solution

The fourth proportional to 720.21, 993.54 and 458.46 is: 632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.21 : 993.54 = 458.46 : x
  2. Step 2: Convert to fraction form
    720.21/993.54 = 458.46/x
  3. Step 3: Cross multiply
    720.21x = 993.54 × 458.46
  4. Step 4: Simplify right side
    720.21x = 455,498.35
  5. Step 5: Solve for x
    x = 455,498.35/720.21
  6. Step 6: Final answer
    x = 632.45

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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.