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Finding the Fourth Proportional to 688.70, 1,030.93 and 549.18

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Solution

The fourth proportional to 688.70, 1,030.93 and 549.18 is: 822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.70 : 1,030.93 = 549.18 : x
  2. Step 2: Convert to fraction form
    688.70/1,030.93 = 549.18/x
  3. Step 3: Cross multiply
    688.70x = 1,030.93 × 549.18
  4. Step 4: Simplify right side
    688.70x = 566,164.76
  5. Step 5: Solve for x
    x = 566,164.76/688.70
  6. Step 6: Final answer
    x = 822.07

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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.