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Finding the Fourth Proportional to 1,261.66, 1,891.60 and 530.63

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Solution

The fourth proportional to 1,261.66, 1,891.60 and 530.63 is: 795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.66 : 1,891.60 = 530.63 : x
  2. Step 2: Convert to fraction form
    1,261.66/1,891.60 = 530.63/x
  3. Step 3: Cross multiply
    1,261.66x = 1,891.60 × 530.63
  4. Step 4: Simplify right side
    1,261.66x = 1,003,739.71
  5. Step 5: Solve for x
    x = 1,003,739.71/1,261.66
  6. Step 6: Final answer
    x = 795.57

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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.