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Finding the Fourth Proportional to 756.64, 1,044.20 and 458.08

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Solution

The fourth proportional to 756.64, 1,044.20 and 458.08 is: 632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.64 : 1,044.20 = 458.08 : x
  2. Step 2: Convert to fraction form
    756.64/1,044.20 = 458.08/x
  3. Step 3: Cross multiply
    756.64x = 1,044.20 × 458.08
  4. Step 4: Simplify right side
    756.64x = 478,327.14
  5. Step 5: Solve for x
    x = 478,327.14/756.64
  6. Step 6: Final answer
    x = 632.17

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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.