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Finding the Fourth Proportional to 1,210.23, 1,669.64 and 790.45

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Solution

The fourth proportional to 1,210.23, 1,669.64 and 790.45 is: 1,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.23 : 1,669.64 = 790.45 : x
  2. Step 2: Convert to fraction form
    1,210.23/1,669.64 = 790.45/x
  3. Step 3: Cross multiply
    1,210.23x = 1,669.64 × 790.45
  4. Step 4: Simplify right side
    1,210.23x = 1,319,754.64
  5. Step 5: Solve for x
    x = 1,319,754.64/1,210.23
  6. Step 6: Final answer
    x = 1,090.50

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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.