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Finding the Fourth Proportional to 497.02, 683.75 and 430.14

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Solution

The fourth proportional to 497.02, 683.75 and 430.14 is: 591.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.02 : 683.75 = 430.14 : x
  2. Step 2: Convert to fraction form
    497.02/683.75 = 430.14/x
  3. Step 3: Cross multiply
    497.02x = 683.75 × 430.14
  4. Step 4: Simplify right side
    497.02x = 294,106.70
  5. Step 5: Solve for x
    x = 294,106.70/497.02
  6. Step 6: Final answer
    x = 591.74

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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.