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Finding the Fourth Proportional to 571.95, 856.70 and 435.06

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Solution

The fourth proportional to 571.95, 856.70 and 435.06 is: 651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.95 : 856.70 = 435.06 : x
  2. Step 2: Convert to fraction form
    571.95/856.70 = 435.06/x
  3. Step 3: Cross multiply
    571.95x = 856.70 × 435.06
  4. Step 4: Simplify right side
    571.95x = 372,715.90
  5. Step 5: Solve for x
    x = 372,715.90/571.95
  6. Step 6: Final answer
    x = 651.66

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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.