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Finding the Fourth Proportional to 861.30, 1,188.79 and 530.01

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Solution

The fourth proportional to 861.30, 1,188.79 and 530.01 is: 731.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.30 : 1,188.79 = 530.01 : x
  2. Step 2: Convert to fraction form
    861.30/1,188.79 = 530.01/x
  3. Step 3: Cross multiply
    861.30x = 1,188.79 × 530.01
  4. Step 4: Simplify right side
    861.30x = 630,069.26
  5. Step 5: Solve for x
    x = 630,069.26/861.30
  6. Step 6: Final answer
    x = 731.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.