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Finding the Fourth Proportional to 520.40, 713.98 and 476.88

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Solution

The fourth proportional to 520.40, 713.98 and 476.88 is: 654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.40 : 713.98 = 476.88 : x
  2. Step 2: Convert to fraction form
    520.40/713.98 = 476.88/x
  3. Step 3: Cross multiply
    520.40x = 713.98 × 476.88
  4. Step 4: Simplify right side
    520.40x = 340,482.78
  5. Step 5: Solve for x
    x = 340,482.78/520.40
  6. Step 6: Final answer
    x = 654.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.