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Finding the Fourth Proportional to 1,022.80, 1,410.57 and 707.51

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Solution

The fourth proportional to 1,022.80, 1,410.57 and 707.51 is: 975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.80 : 1,410.57 = 707.51 : x
  2. Step 2: Convert to fraction form
    1,022.80/1,410.57 = 707.51/x
  3. Step 3: Cross multiply
    1,022.80x = 1,410.57 × 707.51
  4. Step 4: Simplify right side
    1,022.80x = 997,992.38
  5. Step 5: Solve for x
    x = 997,992.38/1,022.80
  6. Step 6: Final answer
    x = 975.75

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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.