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Finding the Fourth Proportional to 765.66, 1,057.08 and 533.10

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Solution

The fourth proportional to 765.66, 1,057.08 and 533.10 is: 736.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.66 : 1,057.08 = 533.10 : x
  2. Step 2: Convert to fraction form
    765.66/1,057.08 = 533.10/x
  3. Step 3: Cross multiply
    765.66x = 1,057.08 × 533.10
  4. Step 4: Simplify right side
    765.66x = 563,529.35
  5. Step 5: Solve for x
    x = 563,529.35/765.66
  6. Step 6: Final answer
    x = 736.00

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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.