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Finding the Fourth Proportional to 530.55, 799.34 and 457.65

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Solution

The fourth proportional to 530.55, 799.34 and 457.65 is: 689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.55 : 799.34 = 457.65 : x
  2. Step 2: Convert to fraction form
    530.55/799.34 = 457.65/x
  3. Step 3: Cross multiply
    530.55x = 799.34 × 457.65
  4. Step 4: Simplify right side
    530.55x = 365,815.66
  5. Step 5: Solve for x
    x = 365,815.66/530.55
  6. Step 6: Final answer
    x = 689.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.