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Finding the Fourth Proportional to 510.32, 761.74 and 438.64

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Solution

The fourth proportional to 510.32, 761.74 and 438.64 is: 654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.32 : 761.74 = 438.64 : x
  2. Step 2: Convert to fraction form
    510.32/761.74 = 438.64/x
  3. Step 3: Cross multiply
    510.32x = 761.74 × 438.64
  4. Step 4: Simplify right side
    510.32x = 334,129.63
  5. Step 5: Solve for x
    x = 334,129.63/510.32
  6. Step 6: Final answer
    x = 654.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.