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Finding the Fourth Proportional to 821.58, 1,134.42 and 507

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Solution

The fourth proportional to 821.58, 1,134.42 and 507 is: 700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.58 : 1,134.42 = 507 : x
  2. Step 2: Convert to fraction form
    821.58/1,134.42 = 507/x
  3. Step 3: Cross multiply
    821.58x = 1,134.42 × 507
  4. Step 4: Simplify right side
    821.58x = 575,150.94
  5. Step 5: Solve for x
    x = 575,150.94/821.58
  6. Step 6: Final answer
    x = 700.05

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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.