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Finding the Fourth Proportional to 492.57, 741.59 and 435.12

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Solution

The fourth proportional to 492.57, 741.59 and 435.12 is: 655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.57 : 741.59 = 435.12 : x
  2. Step 2: Convert to fraction form
    492.57/741.59 = 435.12/x
  3. Step 3: Cross multiply
    492.57x = 741.59 × 435.12
  4. Step 4: Simplify right side
    492.57x = 322,678.47
  5. Step 5: Solve for x
    x = 322,678.47/492.57
  6. Step 6: Final answer
    x = 655.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.