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Finding the Fourth Proportional to 530.56, 800.80 and 530.56

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Solution

The fourth proportional to 530.56, 800.80 and 530.56 is: 800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.56 : 800.80 = 530.56 : x
  2. Step 2: Convert to fraction form
    530.56/800.80 = 530.56/x
  3. Step 3: Cross multiply
    530.56x = 800.80 × 530.56
  4. Step 4: Simplify right side
    530.56x = 424,872.45
  5. Step 5: Solve for x
    x = 424,872.45/530.56
  6. Step 6: Final answer
    x = 800.80

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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.