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Finding the Fourth Proportional to 509.02, 702.08 and 312.64

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Solution

The fourth proportional to 509.02, 702.08 and 312.64 is: 431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.02 : 702.08 = 312.64 : x
  2. Step 2: Convert to fraction form
    509.02/702.08 = 312.64/x
  3. Step 3: Cross multiply
    509.02x = 702.08 × 312.64
  4. Step 4: Simplify right side
    509.02x = 219,498.29
  5. Step 5: Solve for x
    x = 219,498.29/509.02
  6. Step 6: Final answer
    x = 431.22

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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.