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Finding the Fourth Proportional to 520.49, 776.78 and 465.77

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Solution

The fourth proportional to 520.49, 776.78 and 465.77 is: 695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.49 : 776.78 = 465.77 : x
  2. Step 2: Convert to fraction form
    520.49/776.78 = 465.77/x
  3. Step 3: Cross multiply
    520.49x = 776.78 × 465.77
  4. Step 4: Simplify right side
    520.49x = 361,800.82
  5. Step 5: Solve for x
    x = 361,800.82/520.49
  6. Step 6: Final answer
    x = 695.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.