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Finding the Fourth Proportional to 520.96, 782.40 and 456.16

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Solution

The fourth proportional to 520.96, 782.40 and 456.16 is: 685.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.96 : 782.40 = 456.16 : x
  2. Step 2: Convert to fraction form
    520.96/782.40 = 456.16/x
  3. Step 3: Cross multiply
    520.96x = 782.40 × 456.16
  4. Step 4: Simplify right side
    520.96x = 356,899.58
  5. Step 5: Solve for x
    x = 356,899.58/520.96
  6. Step 6: Final answer
    x = 685.08

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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.