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Finding the Fourth Proportional to 510.21, 761.34 and 437.04

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Solution

The fourth proportional to 510.21, 761.34 and 437.04 is: 652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.21 : 761.34 = 437.04 : x
  2. Step 2: Convert to fraction form
    510.21/761.34 = 437.04/x
  3. Step 3: Cross multiply
    510.21x = 761.34 × 437.04
  4. Step 4: Simplify right side
    510.21x = 332,736.03
  5. Step 5: Solve for x
    x = 332,736.03/510.21
  6. Step 6: Final answer
    x = 652.16

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Double scale
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1.5x scale

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.