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Finding the Fourth Proportional to 860.68, 1,296.16 and 645.76

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Solution

The fourth proportional to 860.68, 1,296.16 and 645.76 is: 972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.68 : 1,296.16 = 645.76 : x
  2. Step 2: Convert to fraction form
    860.68/1,296.16 = 645.76/x
  3. Step 3: Cross multiply
    860.68x = 1,296.16 × 645.76
  4. Step 4: Simplify right side
    860.68x = 837,008.28
  5. Step 5: Solve for x
    x = 837,008.28/860.68
  6. Step 6: Final answer
    x = 972.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.