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Finding the Fourth Proportional to 509, 702.48 and 445.40

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Solution

The fourth proportional to 509, 702.48 and 445.40 is: 614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 702.48 = 445.40 : x
  2. Step 2: Convert to fraction form
    509/702.48 = 445.40/x
  3. Step 3: Cross multiply
    509x = 702.48 × 445.40
  4. Step 4: Simplify right side
    509x = 312,884.59
  5. Step 5: Solve for x
    x = 312,884.59/509
  6. Step 6: Final answer
    x = 614.70

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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.