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Finding the Fourth Proportional to 509.47, 702.44 and 430.64

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Solution

The fourth proportional to 509.47, 702.44 and 430.64 is: 593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.47 : 702.44 = 430.64 : x
  2. Step 2: Convert to fraction form
    509.47/702.44 = 430.64/x
  3. Step 3: Cross multiply
    509.47x = 702.44 × 430.64
  4. Step 4: Simplify right side
    509.47x = 302,501.59
  5. Step 5: Solve for x
    x = 302,501.59/509.47
  6. Step 6: Final answer
    x = 593.76

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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.