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Finding the Fourth Proportional to 507, 756.39 and 458.40

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Solution

The fourth proportional to 507, 756.39 and 458.40 is: 683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    507 : 756.39 = 458.40 : x
  2. Step 2: Convert to fraction form
    507/756.39 = 458.40/x
  3. Step 3: Cross multiply
    507x = 756.39 × 458.40
  4. Step 4: Simplify right side
    507x = 346,729.18
  5. Step 5: Solve for x
    x = 346,729.18/507
  6. Step 6: Final answer
    x = 683.88

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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.