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Finding the Fourth Proportional to 530.32, 799.14 and 505.60

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Solution

The fourth proportional to 530.32, 799.14 and 505.60 is: 761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.32 : 799.14 = 505.60 : x
  2. Step 2: Convert to fraction form
    530.32/799.14 = 505.60/x
  3. Step 3: Cross multiply
    530.32x = 799.14 × 505.60
  4. Step 4: Simplify right side
    530.32x = 404,045.18
  5. Step 5: Solve for x
    x = 404,045.18/530.32
  6. Step 6: Final answer
    x = 761.89

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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.