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Finding the Fourth Proportional to 1,018.15, 1,524.45 and 530.17

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Solution

The fourth proportional to 1,018.15, 1,524.45 and 530.17 is: 793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.15 : 1,524.45 = 530.17 : x
  2. Step 2: Convert to fraction form
    1,018.15/1,524.45 = 530.17/x
  3. Step 3: Cross multiply
    1,018.15x = 1,524.45 × 530.17
  4. Step 4: Simplify right side
    1,018.15x = 808,217.66
  5. Step 5: Solve for x
    x = 808,217.66/1,018.15
  6. Step 6: Final answer
    x = 793.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.