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Finding the Fourth Proportional to 688.17, 948.77 and 569.71

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Solution

The fourth proportional to 688.17, 948.77 and 569.71 is: 785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.17 : 948.77 = 569.71 : x
  2. Step 2: Convert to fraction form
    688.17/948.77 = 569.71/x
  3. Step 3: Cross multiply
    688.17x = 948.77 × 569.71
  4. Step 4: Simplify right side
    688.17x = 540,518.54
  5. Step 5: Solve for x
    x = 540,518.54/688.17
  6. Step 6: Final answer
    x = 785.44

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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.