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Finding the Fourth Proportional to 501.59, 689.99 and 435.04

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Solution

The fourth proportional to 501.59, 689.99 and 435.04 is: 598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.59 : 689.99 = 435.04 : x
  2. Step 2: Convert to fraction form
    501.59/689.99 = 435.04/x
  3. Step 3: Cross multiply
    501.59x = 689.99 × 435.04
  4. Step 4: Simplify right side
    501.59x = 300,169.35
  5. Step 5: Solve for x
    x = 300,169.35/501.59
  6. Step 6: Final answer
    x = 598.43

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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.