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Finding the Fourth Proportional to 572.25, 856.71 and 435.84

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Solution

The fourth proportional to 572.25, 856.71 and 435.84 is: 652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.25 : 856.71 = 435.84 : x
  2. Step 2: Convert to fraction form
    572.25/856.71 = 435.84/x
  3. Step 3: Cross multiply
    572.25x = 856.71 × 435.84
  4. Step 4: Simplify right side
    572.25x = 373,388.49
  5. Step 5: Solve for x
    x = 373,388.49/572.25
  6. Step 6: Final answer
    x = 652.49

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.