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Finding the Fourth Proportional to 509.76, 702.54 and 435.24

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Solution

The fourth proportional to 509.76, 702.54 and 435.24 is: 599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.76 : 702.54 = 435.24 : x
  2. Step 2: Convert to fraction form
    509.76/702.54 = 435.24/x
  3. Step 3: Cross multiply
    509.76x = 702.54 × 435.24
  4. Step 4: Simplify right side
    509.76x = 305,773.51
  5. Step 5: Solve for x
    x = 305,773.51/509.76
  6. Step 6: Final answer
    x = 599.84

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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.