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Finding the Fourth Proportional to 1,057.70, 1,459.40 and 708.14

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Solution

The fourth proportional to 1,057.70, 1,459.40 and 708.14 is: 977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.70 : 1,459.40 = 708.14 : x
  2. Step 2: Convert to fraction form
    1,057.70/1,459.40 = 708.14/x
  3. Step 3: Cross multiply
    1,057.70x = 1,459.40 × 708.14
  4. Step 4: Simplify right side
    1,057.70x = 1,033,459.52
  5. Step 5: Solve for x
    x = 1,033,459.52/1,057.70
  6. Step 6: Final answer
    x = 977.08

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1.5x scale

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.