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Finding the Fourth Proportional to 855.82, 1,282.99 and 530.47

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Solution

The fourth proportional to 855.82, 1,282.99 and 530.47 is: 795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.82 : 1,282.99 = 530.47 : x
  2. Step 2: Convert to fraction form
    855.82/1,282.99 = 530.47/x
  3. Step 3: Cross multiply
    855.82x = 1,282.99 × 530.47
  4. Step 4: Simplify right side
    855.82x = 680,587.71
  5. Step 5: Solve for x
    x = 680,587.71/855.82
  6. Step 6: Final answer
    x = 795.25

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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.