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Finding the Fourth Proportional to 520.36, 715.15 and 505.78

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Solution

The fourth proportional to 520.36, 715.15 and 505.78 is: 695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.36 : 715.15 = 505.78 : x
  2. Step 2: Convert to fraction form
    520.36/715.15 = 505.78/x
  3. Step 3: Cross multiply
    520.36x = 715.15 × 505.78
  4. Step 4: Simplify right side
    520.36x = 361,708.57
  5. Step 5: Solve for x
    x = 361,708.57/520.36
  6. Step 6: Final answer
    x = 695.11

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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.