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Finding the Fourth Proportional to 560.34, 839.12 and 455.76

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Solution

The fourth proportional to 560.34, 839.12 and 455.76 is: 682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.34 : 839.12 = 455.76 : x
  2. Step 2: Convert to fraction form
    560.34/839.12 = 455.76/x
  3. Step 3: Cross multiply
    560.34x = 839.12 × 455.76
  4. Step 4: Simplify right side
    560.34x = 382,437.33
  5. Step 5: Solve for x
    x = 382,437.33/560.34
  6. Step 6: Final answer
    x = 682.51

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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.