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Finding the Fourth Proportional to 633.16, 870.84 and 520.32

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Solution

The fourth proportional to 633.16, 870.84 and 520.32 is: 715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.16 : 870.84 = 520.32 : x
  2. Step 2: Convert to fraction form
    633.16/870.84 = 520.32/x
  3. Step 3: Cross multiply
    633.16x = 870.84 × 520.32
  4. Step 4: Simplify right side
    633.16x = 453,115.47
  5. Step 5: Solve for x
    x = 453,115.47/633.16
  6. Step 6: Final answer
    x = 715.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.