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Finding the Fourth Proportional to 497.04, 684.12 and 435.12

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Solution

The fourth proportional to 497.04, 684.12 and 435.12 is: 598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.04 : 684.12 = 435.12 : x
  2. Step 2: Convert to fraction form
    497.04/684.12 = 435.12/x
  3. Step 3: Cross multiply
    497.04x = 684.12 × 435.12
  4. Step 4: Simplify right side
    497.04x = 297,674.29
  5. Step 5: Solve for x
    x = 297,674.29/497.04
  6. Step 6: Final answer
    x = 598.89

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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.