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Finding the Fourth Proportional to 1,057.40, 1,459.10 and 615.25

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Solution

The fourth proportional to 1,057.40, 1,459.10 and 615.25 is: 848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.40 : 1,459.10 = 615.25 : x
  2. Step 2: Convert to fraction form
    1,057.40/1,459.10 = 615.25/x
  3. Step 3: Cross multiply
    1,057.40x = 1,459.10 × 615.25
  4. Step 4: Simplify right side
    1,057.40x = 897,709.17
  5. Step 5: Solve for x
    x = 897,709.17/1,057.40
  6. Step 6: Final answer
    x = 848.98

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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.