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Finding the Fourth Proportional to 1,420.42, 2,130.65 and 542.69

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Solution

The fourth proportional to 1,420.42, 2,130.65 and 542.69 is: 814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.42 : 2,130.65 = 542.69 : x
  2. Step 2: Convert to fraction form
    1,420.42/2,130.65 = 542.69/x
  3. Step 3: Cross multiply
    1,420.42x = 2,130.65 × 542.69
  4. Step 4: Simplify right side
    1,420.42x = 1,156,274.41
  5. Step 5: Solve for x
    x = 1,156,274.41/1,420.42
  6. Step 6: Final answer
    x = 814.04

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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.