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Finding the Fourth Proportional to 512.58, 702.75 and 503.35

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Solution

The fourth proportional to 512.58, 702.75 and 503.35 is: 690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 702.75 = 503.35 : x
  2. Step 2: Convert to fraction form
    512.58/702.75 = 503.35/x
  3. Step 3: Cross multiply
    512.58x = 702.75 × 503.35
  4. Step 4: Simplify right side
    512.58x = 353,729.21
  5. Step 5: Solve for x
    x = 353,729.21/512.58
  6. Step 6: Final answer
    x = 690.10

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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.