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Finding the Fourth Proportional to 763.58, 1,141.12 and 690.68

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Solution

The fourth proportional to 763.58, 1,141.12 and 690.68 is: 1,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.58 : 1,141.12 = 690.68 : x
  2. Step 2: Convert to fraction form
    763.58/1,141.12 = 690.68/x
  3. Step 3: Cross multiply
    763.58x = 1,141.12 × 690.68
  4. Step 4: Simplify right side
    763.58x = 788,148.76
  5. Step 5: Solve for x
    x = 788,148.76/763.58
  6. Step 6: Final answer
    x = 1,032.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.