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Finding the Fourth Proportional to 838.65, 1,157.28 and 507

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Solution

The fourth proportional to 838.65, 1,157.28 and 507 is: 699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.65 : 1,157.28 = 507 : x
  2. Step 2: Convert to fraction form
    838.65/1,157.28 = 507/x
  3. Step 3: Cross multiply
    838.65x = 1,157.28 × 507
  4. Step 4: Simplify right side
    838.65x = 586,740.96
  5. Step 5: Solve for x
    x = 586,740.96/838.65
  6. Step 6: Final answer
    x = 699.63

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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.