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Finding the Fourth Proportional to 531.99, 801.66 and 507.69

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Solution

The fourth proportional to 531.99, 801.66 and 507.69 is: 765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.99 : 801.66 = 507.69 : x
  2. Step 2: Convert to fraction form
    531.99/801.66 = 507.69/x
  3. Step 3: Cross multiply
    531.99x = 801.66 × 507.69
  4. Step 4: Simplify right side
    531.99x = 406,994.77
  5. Step 5: Solve for x
    x = 406,994.77/531.99
  6. Step 6: Final answer
    x = 765.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.