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Finding the Fourth Proportional to 511.36, 702.12 and 498.00

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Solution

The fourth proportional to 511.36, 702.12 and 498.00 is: 683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.36 : 702.12 = 498.00 : x
  2. Step 2: Convert to fraction form
    511.36/702.12 = 498.00/x
  3. Step 3: Cross multiply
    511.36x = 702.12 × 498.00
  4. Step 4: Simplify right side
    511.36x = 349,653.51
  5. Step 5: Solve for x
    x = 349,653.51/511.36
  6. Step 6: Final answer
    x = 683.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.