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Finding the Fourth Proportional to 509.39, 702.65 and 444.05

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Solution

The fourth proportional to 509.39, 702.65 and 444.05 is: 612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.39 : 702.65 = 444.05 : x
  2. Step 2: Convert to fraction form
    509.39/702.65 = 444.05/x
  3. Step 3: Cross multiply
    509.39x = 702.65 × 444.05
  4. Step 4: Simplify right side
    509.39x = 312,009.51
  5. Step 5: Solve for x
    x = 312,009.51/509.39
  6. Step 6: Final answer
    x = 612.52

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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.